2016, Graduate studies in mathematics, ISBN 9781470426071, Volume 171., viii, 368

Differential equations, Elliptic | Boundary value problems for second-order elliptic equations | Partial differential equations | Differential equations, Nonlinear | Elliptic equations and systems | Quasilinear elliptic equations with mean curvature operator | Elliptic Monge-Ampère equations | Nonlinear elliptic equations

Book

2014, Mathematical surveys and monographs, ISBN 9781470417109, Volume 200, vii, 240

Differential equations, Elliptic | Nonassociative rings and algebras -- Jordan algebras (algebras, triples and pairs) -- Jordan algebras (algebras, triples and pairs) | Nonassociative rings and algebras -- General nonassociative rings -- Division algebras | Differential geometry -- Global differential geometry -- Calibrations and calibrated geometries | Partial differential equations -- Elliptic equations and systems -- Nonlinear elliptic equations | Associative rings and algebras -- Algebras and orders -- Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.) | Calculus of variations and optimal control; optimization -- Manifolds -- Minimal surfaces | Jordan algebras | Nonassociative rings

Book

2011, Graduate studies in mathematics, ISBN 0821853236, Volume 121, xii, 313

"Minimal surfaces date back to Euler and Lagrange and the beginning of the calculus of variations. Many of the techniques developed have played key roles in...

Minimal surfaces

Minimal surfaces

Book

2014, Zurich lectures in advanced mathematics, ISBN 3037191341, x, 291

Book

Mathematics of Computation of the American Mathematical Society, ISSN 0025-5718, 09/2017, Volume 86, Issue 307, pp. 2159 - 2191

In this work, we develop and analyze a Hybrid High-Order (HHO) method for steady nonlinear Leray-Lions problems. The proposed method has several assets,...

Discrete functional analysis | Hybrid High-Order methods | approximation properties of L | P-Laplacian | projection on polynomials | Nonlinear elliptic equations | Convergence analysis | MATHEMATICS, APPLIED | p-Laplacian | APPROXIMATION | A-PRIORI | STABILITY | LINEAR ELASTICITY | nonlinear elliptic equations | STOKES | discrete functional analysis | DISCRETIZATION | convergence analysis | VOLUME SCHEMES | DISCONTINUOUS GALERKIN METHODS | DIFFUSION | FINITE-ELEMENT-METHOD | W-s,W-p-approximation properties of L-2-projection on polynomials | Numerical Analysis | Mathematics

Discrete functional analysis | Hybrid High-Order methods | approximation properties of L | P-Laplacian | projection on polynomials | Nonlinear elliptic equations | Convergence analysis | MATHEMATICS, APPLIED | p-Laplacian | APPROXIMATION | A-PRIORI | STABILITY | LINEAR ELASTICITY | nonlinear elliptic equations | STOKES | discrete functional analysis | DISCRETIZATION | convergence analysis | VOLUME SCHEMES | DISCONTINUOUS GALERKIN METHODS | DIFFUSION | FINITE-ELEMENT-METHOD | W-s,W-p-approximation properties of L-2-projection on polynomials | Numerical Analysis | Mathematics

Journal Article

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, ISSN 0362-546X, 07/2015, Volume 121, pp. 336 - 369

In this survey paper, by using variational methods, we are concerned with the qualitative analysis of solutions to nonlinear elliptic problems of the type...

EXISTENCE | MATHEMATICS, APPLIED | P(X)-LAPLACIAN DIRICHLET PROBLEM | MULTIPLE SOLUTIONS | Variational methods | IMAGE-RESTORATION | NONSTANDARD GROWTH | Variable exponent | ELECTRORHEOLOGICAL FLUIDS | MATHEMATICS | R-N | DEGENERATE PROBLEM | NONHOMOGENEOUS DIFFERENTIAL-OPERATORS | Nonlinear elliptic operator | Continuous spectrum | FUNCTIONALS | Exponents | Mathematical analysis | Exteriors | Texts | Nonlinearity | Qualitative analysis

EXISTENCE | MATHEMATICS, APPLIED | P(X)-LAPLACIAN DIRICHLET PROBLEM | MULTIPLE SOLUTIONS | Variational methods | IMAGE-RESTORATION | NONSTANDARD GROWTH | Variable exponent | ELECTRORHEOLOGICAL FLUIDS | MATHEMATICS | R-N | DEGENERATE PROBLEM | NONHOMOGENEOUS DIFFERENTIAL-OPERATORS | Nonlinear elliptic operator | Continuous spectrum | FUNCTIONALS | Exponents | Mathematical analysis | Exteriors | Texts | Nonlinearity | Qualitative analysis

Journal Article

Journal of Differential Equations, ISSN 0022-0396, 01/2018, Volume 264, Issue 1, pp. 341 - 377

We prove existence of renormalized solutions to general nonlinear elliptic equation in Musielak–Orlicz space avoiding growth restrictions. Namely, we...

Elliptic problems | The Musielak–Orlicz spaces | Renormalized solutions | Existence of solutions | NON-NEWTONIAN FLUIDS | INEQUALITIES | BOUNDARY-VALUE-PROBLEMS | The Musielak-Orlicz spaces | MATHEMATICS | SOBOLEV SPACES | VARIABLE EXPONENT | REGULARITY | PROBLEMS INVOLVING DERIVATIVES | NONLINEAR TERMS | OPERATORS | Anisotropy | Mathematics - Analysis of PDEs

Elliptic problems | The Musielak–Orlicz spaces | Renormalized solutions | Existence of solutions | NON-NEWTONIAN FLUIDS | INEQUALITIES | BOUNDARY-VALUE-PROBLEMS | The Musielak-Orlicz spaces | MATHEMATICS | SOBOLEV SPACES | VARIABLE EXPONENT | REGULARITY | PROBLEMS INVOLVING DERIVATIVES | NONLINEAR TERMS | OPERATORS | Anisotropy | Mathematics - Analysis of PDEs

Journal Article

Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 02/2019, Volume 470, Issue 2, pp. 1185 - 1193

In this paper we study the Dirichlet problem of a class of nonlinear elliptic equations which includes Monge–Ampère equation, K-Hessian equation and the usual...

Hölder estimate | Fully nonlinear | Singular elliptic equation | MATHEMATICS | MINKOWSKI PROBLEM | MATHEMATICS, APPLIED | REGULARITY | SMOOTHNESS | Holder estirnate | MONGE-AMPERE EQUATION

Hölder estimate | Fully nonlinear | Singular elliptic equation | MATHEMATICS | MINKOWSKI PROBLEM | MATHEMATICS, APPLIED | REGULARITY | SMOOTHNESS | Holder estirnate | MONGE-AMPERE EQUATION

Journal Article

Advances in Mathematics, ISSN 0001-8708, 02/2019, Volume 343, pp. 538 - 566

We study a general class of fully nonlinear elliptic equations of second order on Hermitian manifolds. We derive a priori estimates and prove some existence...

Hermtian manifolds | Fully nonlinear elliptic equations | A priori estimates | Mixed Chern–Ricci curvatures | Existence of solutions | 2ND-ORDER ESTIMATE | Mixed Chern-Ricci curvatures | COMPLEX MONGE-AMPERE | J-FLOW | MATHEMATICS | REGULARITY | CURVATURE | DIRICHLET PROBLEM | CONVERGENCE | MANIFOLDS

Hermtian manifolds | Fully nonlinear elliptic equations | A priori estimates | Mixed Chern–Ricci curvatures | Existence of solutions | 2ND-ORDER ESTIMATE | Mixed Chern-Ricci curvatures | COMPLEX MONGE-AMPERE | J-FLOW | MATHEMATICS | REGULARITY | CURVATURE | DIRICHLET PROBLEM | CONVERGENCE | MANIFOLDS

Journal Article

Annales de l'Institut Henri Poincaré / Analyse non linéaire, ISSN 0294-1449, 09/2017, Volume 34, Issue 5, pp. 1141 - 1153

We prove a Wσ,ϵ-estimate for a class of nonlocal fully nonlinear elliptic equations by following Fanghua Lin's original approach [8] to the analogous problem...

Nonlocal equations | Nonlinear elliptic equations | Potential estimate

Nonlocal equations | Nonlinear elliptic equations | Potential estimate

Journal Article

Mathematical Methods in the Applied Sciences, ISSN 0170-4214, 01/2020, Volume 43, Issue 1, pp. 320 - 333

In this article, we prove the Liouville‐type theorem for stable solutions of weighted p‐Laplace–type Grushin equations 1...

Grushin operator | Liouville‐type theorem | stable solutions | p‐Laplace–type | Liouville-type theorem | MATHEMATICS, APPLIED | POSITIVE SOLUTIONS | p-Laplace-type | STABLE-SOLUTIONS | Theorems | Nonlinear equations | Elliptic functions

Grushin operator | Liouville‐type theorem | stable solutions | p‐Laplace–type | Liouville-type theorem | MATHEMATICS, APPLIED | POSITIVE SOLUTIONS | p-Laplace-type | STABLE-SOLUTIONS | Theorems | Nonlinear equations | Elliptic functions

Journal Article

12.
Full Text
Boundary Riesz potential estimates for elliptic equations with measurable nonlinearities

Nonlinear Analysis, ISSN 0362-546X, 05/2020, Volume 194, p. 111445

We consider elliptic equations with measurable nonlinearities in a half cube Q2R∩{(x1,x′)∈Rn:x1>0} where the boundary data is given on Q2R∩{(x1,x′)∈Rn:x1=0}....

Riesz potentials | Nonlinear elliptic equations | MATHEMATICS | MATHEMATICS, APPLIED | ZYGMUND THEORY | PARABOLIC EQUATIONS

Riesz potentials | Nonlinear elliptic equations | MATHEMATICS | MATHEMATICS, APPLIED | ZYGMUND THEORY | PARABOLIC EQUATIONS

Journal Article

Journal of Differential Equations, ISSN 0022-0396, 08/2015, Volume 259, Issue 3, pp. 898 - 924

In the present paper we prove existence results for solutions to nonlinear elliptic Neumann problems whose prototype is....

Existence results | Nonlinear elliptic equations | Renormalized solutions | Neumann problems | EXISTENCE | MATHEMATICS | SYMMETRIZATION | PARABOLIC EQUATIONS | LOWER-ORDER TERMS | Analysis of PDEs | Mathematics

Existence results | Nonlinear elliptic equations | Renormalized solutions | Neumann problems | EXISTENCE | MATHEMATICS | SYMMETRIZATION | PARABOLIC EQUATIONS | LOWER-ORDER TERMS | Analysis of PDEs | Mathematics

Journal Article

Journal of Differential Equations, ISSN 0022-0396, 10/2019, Volume 267, Issue 9, pp. 5576 - 5600

In this paper, we consider the nonlinear elliptic equations on rectangular tori. Using methods in the study of KAM theory and Anderson localization, we prove...

Analytic periodic solutions | Anderson localization | Nash-Moser iterations | Nonlinear elliptic equations | Rectangular tori | KAM theory | SCHRODINGER-EQUATIONS | THEOREM | QUASI-PERIODIC SOLUTIONS | OSCILLATOR | MATHEMATICS | KAM | SOBOLEV NORMS | SPECTRUM | WAVE-EQUATIONS | OPERATORS

Analytic periodic solutions | Anderson localization | Nash-Moser iterations | Nonlinear elliptic equations | Rectangular tori | KAM theory | SCHRODINGER-EQUATIONS | THEOREM | QUASI-PERIODIC SOLUTIONS | OSCILLATOR | MATHEMATICS | KAM | SOBOLEV NORMS | SPECTRUM | WAVE-EQUATIONS | OPERATORS

Journal Article

Nonlinear Analysis, Theory, Methods and Applications, ISSN 0362-546X, 04/2017, Volume 153, pp. 130 - 141

We consider some nonlinear Dirichlet problems and we study how lower order terms can give a regularizing effect on the solutions: the existence of...

solutions | Nonlinear Dirichlet problem

solutions | Nonlinear Dirichlet problem

Journal Article

Nonlinear Analysis, ISSN 0362-546X, 12/2018, Volume 177, pp. 572 - 585

We study nonlinear elliptic equations of p-Laplacian type in divergence form to establish a natural Calderón–Zygmund type theory of an Orlicz space type, where...

Measurable nonlinearities | Calderón–Zygmund type estimates | Nonlinear elliptic equations | MATHEMATICS, APPLIED | SPACES | ZYGMUND THEORY | POTENTIAL-THEORY | GRADIENT REGULARITY | HIGHER INTEGRABILITY | NONSMOOTH DOMAINS | COMPOSITE REIFENBERG DOMAINS | MATHEMATICS | PARABOLIC-SYSTEMS | Calderon-Zygmund type estimates | PLANE | P-LAPLACIAN TYPE | Analysis | Numerical analysis | Studies | Nonlinear equations | Theorems | Divergence | Mathematical analysis | Orlicz space | Elliptic functions

Measurable nonlinearities | Calderón–Zygmund type estimates | Nonlinear elliptic equations | MATHEMATICS, APPLIED | SPACES | ZYGMUND THEORY | POTENTIAL-THEORY | GRADIENT REGULARITY | HIGHER INTEGRABILITY | NONSMOOTH DOMAINS | COMPOSITE REIFENBERG DOMAINS | MATHEMATICS | PARABOLIC-SYSTEMS | Calderon-Zygmund type estimates | PLANE | P-LAPLACIAN TYPE | Analysis | Numerical analysis | Studies | Nonlinear equations | Theorems | Divergence | Mathematical analysis | Orlicz space | Elliptic functions

Journal Article

Proceedings of the Royal Society of Edinburgh Section A: Mathematics, ISSN 0308-2105, 02/2017, Volume 147, Issue 1, pp. 25 - 60

The existence of a non-trivial bounded solution to the Dirichlet problem is established for a class of nonlinear elliptic equations involving a fully...

critical-point methods | minimax methods | anisotropic elliptic equations | anisotropic Orlicz-Sobolev spaces | MATHEMATICS | MATHEMATICS, APPLIED | SPACES | THEOREM | BOUNDEDNESS | VARIATIONAL-PROBLEMS | Mathematical problems | Anisotropy | Nonlinear equations | Functions (mathematics) | Operators | Mathematical analysis | Differential equations | Dirichlet problem | Nonlinearity

critical-point methods | minimax methods | anisotropic elliptic equations | anisotropic Orlicz-Sobolev spaces | MATHEMATICS | MATHEMATICS, APPLIED | SPACES | THEOREM | BOUNDEDNESS | VARIATIONAL-PROBLEMS | Mathematical problems | Anisotropy | Nonlinear equations | Functions (mathematics) | Operators | Mathematical analysis | Differential equations | Dirichlet problem | Nonlinearity

Journal Article

18.
Full Text
Wolff's inequality for intrinsic nonlinear potentials and quasilinear elliptic equations

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, ISSN 0362-546X, 05/2020, Volume 194

We prove an analogue of Wolff's inequality for the so-called intrinsic nonlinear potentials associated with the quasilinear elliptic equation -Delta(p)u =...

MATHEMATICS | Wolff's inequality | MATHEMATICS, APPLIED | p-Laplacian | Nonlinear potentials | TRACE INEQUALITIES

MATHEMATICS | Wolff's inequality | MATHEMATICS, APPLIED | p-Laplacian | Nonlinear potentials | TRACE INEQUALITIES

Journal Article

Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 11/2018, Volume 467, Issue 1, pp. 67 - 94

We prove a global Calderón–Zygmund-type estimate in the framework of Lorentz spaces for the gradients of weak solutions of nonlinear elliptic equations with...

Lorentz estimate | Reifenberg flatness | Small bounded mean oscillation | [formula omitted]-growth | Strong log-Hölder continuity | Nonlinear elliptic problems | MATHEMATICS, APPLIED | BMO COEFFICIENTS | MATHEMATICS | L-p(center dot) log L-growth | VARIABLE EXPONENT | Strong log-Holder continuity | SYSTEMS | VMO | FUNCTIONALS

Lorentz estimate | Reifenberg flatness | Small bounded mean oscillation | [formula omitted]-growth | Strong log-Hölder continuity | Nonlinear elliptic problems | MATHEMATICS, APPLIED | BMO COEFFICIENTS | MATHEMATICS | L-p(center dot) log L-growth | VARIABLE EXPONENT | Strong log-Holder continuity | SYSTEMS | VMO | FUNCTIONALS

Journal Article

ESAIM - Control, Optimisation and Calculus of Variations, ISSN 1292-8119, 01/2016, Volume 22, Issue 1, pp. 289 - 308

We prove existence of solutions for a class of singular elliptic problems with a general measure as source term whose model is {-Delta u = f( x)/u gamma + mu...

singular elliptic equations | measure data | Nonlinear elliptic equations | EXISTENCE | MATHEMATICS, APPLIED | PARABOLIC EQUATIONS | DIRICHLET PROBLEM | NONLINEARITIES | CONVERGENCE | AUTOMATION & CONTROL SYSTEMS | Radon | Elliptic functions | Mathematics - Analysis of PDEs

singular elliptic equations | measure data | Nonlinear elliptic equations | EXISTENCE | MATHEMATICS, APPLIED | PARABOLIC EQUATIONS | DIRICHLET PROBLEM | NONLINEARITIES | CONVERGENCE | AUTOMATION & CONTROL SYSTEMS | Radon | Elliptic functions | Mathematics - Analysis of PDEs

Journal Article

No results were found for your search.

Cannot display more than 1000 results, please narrow the terms of your search.