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## Search Articles

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

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

.... Many of the techniques developed have played key roles in geometry and partial differential equations...

Minimal surfaces

Minimal surfaces

Book

2014, De Gruyter studies in mathematics, ISBN 3110315408, Volume 55, ix, 192

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

2018, Universitext, ISBN 3319783890, 259

This textbook presents the essential parts of the modern theory of nonlinear partial differential equations, including the calculus...

eBook

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

Book

2010, Numerical mathematics and scientific computation, ISBN 9780199577040, xxvii, 746

Nonlinear elliptic problems play an increasingly important role in mathematics, science and engineering, and create an exciting interplay...

Differential equations, Elliptic | Differential equations, Nonlinear | Numerical solutions | Mathematical and Statistical Physics

Differential equations, Elliptic | Differential equations, Nonlinear | Numerical solutions | Mathematical and Statistical Physics

Book

2004, Mathematical notes, ISBN 0691119538, Volume 45, viii· 218

Elliptic equations of critical Sobolev growth have been the target of investigation for decades because they have proved to be of great importance in analysis, geometry, and physics...

Calculus of variations | Differential Equations, Nonlinear | Mathematics | Calculus of Variations | Geometry, Riemannian | Differential equations, Nonlinear | Differential equations, Elliptic

Calculus of variations | Differential Equations, Nonlinear | Mathematics | Calculus of Variations | Geometry, Riemannian | Differential equations, Nonlinear | Differential equations, Elliptic

Book

2015, CBMS-NSF regional conference series in applied mathematics, ISBN 9781611973778, Volume 86., xix, 462

Variational Methods for the Numerical Solution of Nonlinear Elliptic Problems addresses computational methods that have proven efficient for the solution of a large variety of nonlinear elliptic problems...

Eikonal equation | Elliptic functions | Nonlinear functional analysis | Lagrangian functions

Eikonal equation | Elliptic functions | Nonlinear functional analysis | Lagrangian functions

Book

Optical and quantum electronics, ISSN 0306-8919, 1/2018, Volume 50, Issue 1, pp. 1 - 10

In this article, we study the unstable nonlinear Schrödinger equation (UNLSE). Analytically by modified extended direct algebraic method, which describes the disturbances in time evolution of marginally stable or unstable media...

Elliptic function solutions | Optics, Lasers, Photonics, Optical Devices | Unstable nonlinear Schrödinger equation | Solitons | Characterization and Evaluation of Materials | Modified extended direct algebraic method | Solitary wave solutions | Computer Communication Networks | Physics | Electrical Engineering | Quantum Science & Technology | Engineering | Physical Sciences | Technology | Engineering, Electrical & Electronic | Optics | Science & Technology | Nonlinear equations | Nonlinear analysis | Nonlinear evolution equations | Schroedinger equation | Elliptic functions | Nonlinear optics | Solitary waves

Elliptic function solutions | Optics, Lasers, Photonics, Optical Devices | Unstable nonlinear Schrödinger equation | Solitons | Characterization and Evaluation of Materials | Modified extended direct algebraic method | Solitary wave solutions | Computer Communication Networks | Physics | Electrical Engineering | Quantum Science & Technology | Engineering | Physical Sciences | Technology | Engineering, Electrical & Electronic | Optics | Science & Technology | Nonlinear equations | Nonlinear analysis | Nonlinear evolution equations | Schroedinger equation | Elliptic functions | Nonlinear optics | Solitary waves

Journal Article

Journal of scientific computing, ISSN 1573-7691, 09/2018, Volume 79, Issue 1, pp. 1 - 47

We discuss in this article a novel method for the numerical solution of the two-dimensional elliptic Monge–Ampère equation...

Fully nonlinear elliptic partial differential equations | Operator-splitting method | Mixed finite element methods | Computational Mathematics and Numerical Analysis | Algorithms | Monge–Ampère equations | Theoretical, Mathematical and Computational Physics | Mathematical and Computational Engineering | Finite element approximations | Variational crimes | Tychonoff regularization | Mathematics | Physical Sciences | Mathematics, Applied | Science & Technology | Methods | Differential equations | Boundary value problems | Divergence | Approximation | Monge-Ampere equation | Methodology | Finite element method | Operators (mathematics) | Domains | Splitting | Robustness (mathematics) | Mathematical analysis | Rectangles | Newton methods | Computing time

Fully nonlinear elliptic partial differential equations | Operator-splitting method | Mixed finite element methods | Computational Mathematics and Numerical Analysis | Algorithms | Monge–Ampère equations | Theoretical, Mathematical and Computational Physics | Mathematical and Computational Engineering | Finite element approximations | Variational crimes | Tychonoff regularization | Mathematics | Physical Sciences | Mathematics, Applied | Science & Technology | Methods | Differential equations | Boundary value problems | Divergence | Approximation | Monge-Ampere equation | Methodology | Finite element method | Operators (mathematics) | Domains | Splitting | Robustness (mathematics) | Mathematical analysis | Rectangles | Newton methods | Computing time

Journal Article

2011, Volume 540

Conference Proceeding

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

Book

Potential analysis, ISSN 0926-2601, 4/2018, Volume 48, Issue 3, pp. 325 - 335

We study non-variational degenerate elliptic equations with mixed singular structures, both at the set of critical points and on the ground touching points...

Geometry | Potential Theory | Functional Analysis | 35J60 | Singular PDEs | Regularity theory | 35B65 | Probability Theory and Stochastic Processes | Mathematics | Physical Sciences | Science & Technology | Nonlinear equations | Singularities | Mathematical analysis | Infimum

Geometry | Potential Theory | Functional Analysis | 35J60 | Singular PDEs | Regularity theory | 35B65 | Probability Theory and Stochastic Processes | Mathematics | Physical Sciences | Science & Technology | Nonlinear equations | Singularities | Mathematical analysis | Infimum

Journal Article

2018, Fields Institute monographs, ISBN 3319984063, Volume 36, 273

This book deals with a systematic study of a dynamical system approach to investigate the symmetrization and stabilization properties of nonnegative solutions of nonlinear elliptic problems...

Differential equations, Elliptic | Differential equations, Nonlinear

Differential equations, Elliptic | Differential equations, Nonlinear

eBook

2008, Oxford lecture series in mathematics and its applications, ISBN 0195334728, Volume 37, xvi, 298

Book

Numerical algorithms, ISSN 1017-1398, 3/2017, Volume 74, Issue 3, pp. 797 - 819

... ∂Ω is smooth and homeomorphic to
S
d
−
1
$\mathbb {S}^{d-1}$
. Consider solving an elliptic partial differential equation L
u = f(⋅, u) over Ω...

Nonlinear | Spectral method | Algorithms | Algebra | Numerical Analysis | Computer Science | Numeric Computing | Theory of Computation | Elliptic | Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology | Analysis | Methods | Differential equations | Partial differential equations | Boundary conditions | Elliptic differential equations

Nonlinear | Spectral method | Algorithms | Algebra | Numerical Analysis | Computer Science | Numeric Computing | Theory of Computation | Elliptic | Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology | Analysis | Methods | Differential equations | Partial differential equations | Boundary conditions | Elliptic differential equations

Journal Article

2015, Progress in Nonlinear Differential Equations and Their, ISBN 3319199013, Volume 86, 434

..., Brazil from February 3-7, 2014. The contributing authors represent a group of international experts in the field and discuss recent trends and new directions in nonlinear elliptic partial differential equations...

Differential Equations | Differential equations, Elliptic | Differential equations, Nonlinear | Analysis of PDEs | Mathematics

Differential Equations | Differential equations, Elliptic | Differential equations, Nonlinear | Analysis of PDEs | Mathematics

eBook

Potential analysis, ISSN 0926-2601, 3/2017, Volume 46, Issue 3, pp. 403 - 430

We study nonlinear elliptic equations in divergence form
div
A
(
x
,
Du
)
=
div
G
.
$\text {div }{\mathcal A}(x,Du)=\text {div } G.$
When
A
${\mathcal A}$
has linear growth in D
u, and assuming that
x...

35J60 | Probability Theory and Stochastic Processes | Mathematics | Nonlinear elliptic equations | Besov spaces | Geometry | Potential Theory | Functional Analysis | Higher order fractional differentiability | 49N60 | Local well-posedness | 35B65 | 42B37 | Physical Sciences | Science & Technology | Nonlinear equations | Divergence | Well posed problems | Mathematical analysis | Smoothness

35J60 | Probability Theory and Stochastic Processes | Mathematics | Nonlinear elliptic equations | Besov spaces | Geometry | Potential Theory | Functional Analysis | Higher order fractional differentiability | 49N60 | Local well-posedness | 35B65 | 42B37 | Physical Sciences | Science & Technology | Nonlinear equations | Divergence | Well posed problems | Mathematical analysis | Smoothness

Journal Article

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