Complex variables and elliptic equations, ISSN 1747-6933, 2006

Journal

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

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

2011, Graduate studies in mathematics, ISBN 0821852841, Volume 123, xvii, 410

Book

2010, Mathematical surveys and monographs, ISBN 9780821849835, Volume no. 162., vii, 608

Book

SIAM journal on numerical analysis, ISSN 1095-7170, 2009, Volume 47, Issue 5, pp. 3339 - 3358

...SIAM J. NUMER. ANAL. c Vol. 47, No. 5, pp. 33393358 A FINITE ELEMENT METHOD FOR ELLIPTIC EQUATIONS ON SURFACES MAXIM A. OLSHANSKII, ARNOLD REUSKEN, AND JRG...

Finite element method | Triangulation | Approximation | Partial differential equations | Elliptic equations | Error bounds | Tetrahedrons | Linear transformations | Mathematical surfaces | Mathematical functions | Marangoni | Two-phase flow | Level set method | Interface | Finite element | Surface | MATHEMATICS, APPLIED | surface | finite element | level set method | interface | INTERFACIAL FLOWS | two-phase flow | Discretization | Mathematical analysis | Joining | Mathematical models | Optimization | Convergence

Finite element method | Triangulation | Approximation | Partial differential equations | Elliptic equations | Error bounds | Tetrahedrons | Linear transformations | Mathematical surfaces | Mathematical functions | Marangoni | Two-phase flow | Level set method | Interface | Finite element | Surface | MATHEMATICS, APPLIED | surface | finite element | level set method | interface | INTERFACIAL FLOWS | two-phase flow | Discretization | Mathematical analysis | Joining | Mathematical models | Optimization | Convergence

Journal Article

Potential analysis, ISSN 1572-929X, 2018, Volume 52, Issue 3, pp. 393 - 425

This paper studies regularity estimates in Sobolev spaces for weak solutions of a class of degenerate and singular quasi-linear elliptic problems of the form...

Two weighted norm inequalities | Muckenhoupt weights | Degenerate quasi-linear elliptic equations | Nonlinear weighted Calderón-Zygmund estimates | MATHEMATICS | NORM INEQUALITIES | PARABOLIC EQUATIONS | FORM | Nonlinear weighted Calderon-Zygmund estimates | BMO COEFFICIENTS | HARNACK INEQUALITY

Two weighted norm inequalities | Muckenhoupt weights | Degenerate quasi-linear elliptic equations | Nonlinear weighted Calderón-Zygmund estimates | MATHEMATICS | NORM INEQUALITIES | PARABOLIC EQUATIONS | FORM | Nonlinear weighted Calderon-Zygmund estimates | BMO COEFFICIENTS | HARNACK INEQUALITY

Journal Article

2012, ISBN 9814374342, xi, 241

Book

Calculus of Variations and Partial Differential Equations, ISSN 0944-2669, 4/2018, Volume 57, Issue 2, pp. 1 - 34

...Calc. Var. (2018) 57:57 https://doi.org/10.1007/s00526-018-1321-2 Calculus of Variations Sharp boundary behaviour of solutions to semilinear nonlocal elliptic...

Nonlocal equations of elliptic type | 35J61 | Systems Theory, Control | Theoretical, Mathematical and Computational Physics | Bounded domains | 35B45 | Positivity | Mathematics | Nonlinear elliptic equations | 35K67 | Boundary behavior | Harnack inequalities | Calculus of Variations and Optimal Control; Optimization | Analysis | A priori estimates | 35B65 | Regularity | MATHEMATICS, APPLIED | INTEGRODIFFERENTIAL EQUATIONS | REGULARITY THEORY | ASYMPTOTIC-BEHAVIOR | FRACTIONAL LAPLACIANS | MATHEMATICS | NONLINEAR EQUATIONS | POROUS-MEDIUM EQUATION | DIRICHLET PROBLEM | DEGENERATE DIFFUSION-EQUATIONS | DOMAINS | OPERATORS

Nonlocal equations of elliptic type | 35J61 | Systems Theory, Control | Theoretical, Mathematical and Computational Physics | Bounded domains | 35B45 | Positivity | Mathematics | Nonlinear elliptic equations | 35K67 | Boundary behavior | Harnack inequalities | Calculus of Variations and Optimal Control; Optimization | Analysis | A priori estimates | 35B65 | Regularity | MATHEMATICS, APPLIED | INTEGRODIFFERENTIAL EQUATIONS | REGULARITY THEORY | ASYMPTOTIC-BEHAVIOR | FRACTIONAL LAPLACIANS | MATHEMATICS | NONLINEAR EQUATIONS | POROUS-MEDIUM EQUATION | DIRICHLET PROBLEM | DEGENERATE DIFFUSION-EQUATIONS | DOMAINS | OPERATORS

Journal Article

1995, Colloquium publications / American Mathematical Society, ISBN 0821804375, Volume 43., vi, 104

Book

Computer methods in applied mechanics and engineering, ISSN 0045-7825, 2019, Volume 343, pp. 506 - 529

This paper describes a novel method to treat Neumann and Dirichlet boundary conditions in meshless discretizations of elliptic equations using nodal integration...

Boundary conditions | Nodal integration | Linear elasticity | Meshless methods | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | MECHANICS | ENGINEERING, MULTIDISCIPLINARY | PATCH TEST | INTEGRATION | INCOMPRESSIBLE SPH | SMOOTHED PARTICLE HYDRODYNAMICS | FORMULATION | Allergy | Methods | Testing

Boundary conditions | Nodal integration | Linear elasticity | Meshless methods | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | MECHANICS | ENGINEERING, MULTIDISCIPLINARY | PATCH TEST | INTEGRATION | INCOMPRESSIBLE SPH | SMOOTHED PARTICLE HYDRODYNAMICS | FORMULATION | Allergy | Methods | Testing

Journal Article

Potential Analysis, ISSN 0926-2601, 1/2019, Volume 50, Issue 1, pp. 135 - 148

...Potential Anal (2019) 50:135–148 https://doi.org/10.1007/s11118-017-9676-0 H ¨ older Continuity of Solutions for Quasilinear Elliptic Equations with Gradient...

Riccati type equation | Secondary 35B65 | Probability Theory and Stochastic Processes | Quasi-linear equation | Mathematics | Primary 35J60 | Geometry | Potential Theory | Functional Analysis | 32U30 | Gradient term | Removablity | Hölder continuity | MATHEMATICS | Holder continuity

Riccati type equation | Secondary 35B65 | Probability Theory and Stochastic Processes | Quasi-linear equation | Mathematics | Primary 35J60 | Geometry | Potential Theory | Functional Analysis | 32U30 | Gradient term | Removablity | Hölder continuity | MATHEMATICS | Holder continuity

Journal Article

SIAM journal on numerical analysis, ISSN 1095-7170, 1994, Volume 31, Issue 4, pp. 1019 - 1044

The authors develop finite difference methods for elliptic equations of the form $\nabla \centerdot (\beta(x)\nabla u(x)) + \kappa(x)u(x) = f(x)$ in a region Ω...

Linear systems | Mathematical discontinuity | Constant coefficients | Elliptic equations | Function discontinuity | Truncation errors | Coordinate systems | Kronecker delta function | Coefficients | Stencils | MATHEMATICS, APPLIED | DELTA FUNCTIONS | BIHARMONIC-EQUATIONS | SINGULAR SOURCE TERM | ELLIPTIC EQUATION | BOUNDARY METHOD | MODEL | FINITE DIFFERENCE METHODS | DISCONTINUOUS COEFFICIENTS | INTERFACE | IRREGULAR DOMAIN | IRREGULAR REGIONS | POISSONS

Linear systems | Mathematical discontinuity | Constant coefficients | Elliptic equations | Function discontinuity | Truncation errors | Coordinate systems | Kronecker delta function | Coefficients | Stencils | MATHEMATICS, APPLIED | DELTA FUNCTIONS | BIHARMONIC-EQUATIONS | SINGULAR SOURCE TERM | ELLIPTIC EQUATION | BOUNDARY METHOD | MODEL | FINITE DIFFERENCE METHODS | DISCONTINUOUS COEFFICIENTS | INTERFACE | IRREGULAR DOMAIN | IRREGULAR REGIONS | POISSONS

Journal Article

Chinese Annals of Mathematics, Series B, ISSN 0252-9599, 3/2018, Volume 39, Issue 2, pp. 315 - 334

The authors study the use of the virtual element method (VEM for short) of order k for general second order elliptic problems with variable coefficients in...

Serendipity | Virtual element methods | Linear elliptic problems | Mathematics, general | Mathematics | Applications of Mathematics | Polyhedral decompositions | 65N30 | MATHEMATICS | ELASTICITY PROBLEMS | POLYGONAL MESHES | POLYHEDRAL MESHES | VEM

Serendipity | Virtual element methods | Linear elliptic problems | Mathematics, general | Mathematics | Applications of Mathematics | Polyhedral decompositions | 65N30 | MATHEMATICS | ELASTICITY PROBLEMS | POLYGONAL MESHES | POLYHEDRAL MESHES | VEM

Journal Article

1999, Texts in applied mathematics, ISBN 0387983465, Volume 33., xxii, 556

Book

Computers & mathematics with applications (1987), ISSN 0898-1221, 2016, Volume 72, Issue 9, pp. 2315 - 2333

In this paper, inverted finite element method is used for solving two-dimensional second order elliptic equations with a Dirichlet boundary condition in an exterior domain...

Unbounded domains | Inverted finite elements | Elliptic equation | Exterior domain | MATHEMATICS, APPLIED | APPROXIMATION | ARTIFICIAL BOUNDARY-CONDITIONS | LINEAR ELASTIC EQUATIONS | STOKES EQUATIONS | DIMENSIONS | WEIGHTED SOBOLEV SPACES | WAVES | UNBOUNDED-DOMAINS | HALF-SPACE | INFINITE ELEMENTS | Finite element method | Usage | Methods | Laying | Computer simulation | Efficiency | Mathematical analysis | Exteriors | Dirichlet problem | Mathematical models | Mathematics

Unbounded domains | Inverted finite elements | Elliptic equation | Exterior domain | MATHEMATICS, APPLIED | APPROXIMATION | ARTIFICIAL BOUNDARY-CONDITIONS | LINEAR ELASTIC EQUATIONS | STOKES EQUATIONS | DIMENSIONS | WEIGHTED SOBOLEV SPACES | WAVES | UNBOUNDED-DOMAINS | HALF-SPACE | INFINITE ELEMENTS | Finite element method | Usage | Methods | Laying | Computer simulation | Efficiency | Mathematical analysis | Exteriors | Dirichlet problem | Mathematical models | Mathematics

Journal Article

1974, Lecture notes in mathematics, ISBN 038706690X, Volume 365., vi, 397

Book

Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 11/2013, Volume 407, Issue 2, pp. 545 - 549

In this note, we study the global Hölder regularity for the gradient of the strong solutions of non-variational elliptic equations.

Hölder regularity | Elliptic linear equation | VMO classes | MATHEMATICS | MATHEMATICS, APPLIED | HARNACK INEQUALITY | Holder regularity

Hölder regularity | Elliptic linear equation | VMO classes | MATHEMATICS | MATHEMATICS, APPLIED | HARNACK INEQUALITY | Holder regularity

Journal Article

Advances in Mathematics, ISSN 0001-8708, 2009, Volume 222, Issue 1, pp. 62 - 129

We give dimension-free regularity conditions for a class of possibly degenerate sub-elliptic equations in the Heisenberg group exhibiting super-quadratic growth in the horizontal gradient...

Heisenberg group | Weak solutions | Regularity | p-Laplacean | DIFFERENTIAL EQUATIONS | QUASI-LINEAR EQUATIONS | VECTOR-FIELDS | HORMANDER TYPE | MINIMIZERS | MATHEMATICS | VMO COEFFICIENTS | CARNOT GROUPS | NONLINEAR SUBELLIPTIC EQUATIONS | VARIATIONAL INTEGRALS

Heisenberg group | Weak solutions | Regularity | p-Laplacean | DIFFERENTIAL EQUATIONS | QUASI-LINEAR EQUATIONS | VECTOR-FIELDS | HORMANDER TYPE | MINIMIZERS | MATHEMATICS | VMO COEFFICIENTS | CARNOT GROUPS | NONLINEAR SUBELLIPTIC EQUATIONS | VARIATIONAL INTEGRALS

Journal Article

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