Existence of solutions of elliptic equations involving critical Sobolev exponents with Neumann boundary condition in general domains [PDF]
, 1991 Myriam Comte, M.C. Knaap
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Normalized solutions for $p$-Laplacian equation with critical Sobolev exponent and mixed nonlinearities [PDF]
, 2023 Shengbing Deng, Qiaoran Wu
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Nonhomogeneous elliptic problems of Kirchhoff type involving critical Sobolev exponents
Electronic Journal of Differential Equations, 2015 This article concerns the existence and the multiplicity of solutions for nonhomogeneous elliptic Kirchhoff problems involving the critical Sobolev exponent, defined on a regular bounded domain of $\mathbb{R}^3$.
Safia Benmansour, Mohammed Bouchekif
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A posteriori error approximation in discontinuous Galerkin method on polygonal meshes in elliptic problems. [PDF]
Sci Rep, 2023 Jaśkowiec J, Pamin J.
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Standing waves for a class of Schrödinger-Poisson equations in ${\mathbb{R}^3}$ involving critical Sobolev exponents [PDF]
, 2014 Yi He, Gongbao Li
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On the critical exponent and sharp lifespan estimates for semilinear damped wave equations with data from Sobolev spaces of negative order [PDF]
, 2021 Wenhui Chen, Michael Reissig
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Foundational issues, analysis and geometry in continuum mechanics: introduction. [PDF]
Philos Trans A Math Phys Eng Sci, 2023 Mariano PM, Schlömerkemper A.
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Multiple positive solutions for a critical elliptic problem with concave and convex nonlinearities
Electronic Journal of Differential Equations, 2014 In this article, we study the multiplicity of positive solutions for a semi-linear elliptic problem involving critical Sobolev exponent and concave-convex nonlinearities. With the help of Nehari manifold and Ljusternik-Schnirelmann category, we prove
Haining Fan
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Non Uniqueness of Power-Law Flows. [PDF]
Commun Math Phys, 2021 Burczak J, Modena S, Székelyhidi L.
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Existence results for a class of nonhomogeneous elliptic equations with critical Sobolev exponent
, 2013 Rafael A. Castro, Mario Zuluaga
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