Positive solutions of nonuniformly elliptic equations with weighted convex-concave nonlinearity

DOI10.1134/S0001434622070288zbMath1498.35279OpenAlexW4293374001MaRDI QIDQ2170517

Yanyan Li

Publication date: 6 September 2022

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434622070288

zbMATH Keywords

Dirichlet problemdegenerate elliptic equationconvex-concave nonlinearitynonuniformly elliptic equation

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Degenerate elliptic equations (35J70) Quasilinear elliptic equations (35J62)

Related Items (1)

On Harnack inequality and Hölder continuity to the degenerate parabolic equations

Cites Work

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• Two solutions for an elliptic equation with fast increasing weight and concave-convex nonlinearities
• Regularity of the solutions of degenerate elliptic equations in divergent form
• Multiplicity of solutions for parametric \(p\)-Laplacian equations with nonlinearity concave near the origin
• Functional analysis, Sobolev spaces and partial differential equations
• Qualitative properties of positive solutions of semilinear elliptic equations in symmetric domains via the maximum principle
• Combined effects of concave and convex nonlinearities in some elliptic problems
• \(W^{1,p}\) versus \(C^1\) local minimizers and multiplicity results for quasilinear elliptic equations.
• A Sawyer-type sufficient condition for the weighted Poincaré inequality
• Positive solutions to a Dirichlet problem with \(p\)-Laplacian and concave-convex nonlinearity depending on a parameter
• On compact and bounded embedding in variable exponent Sobolev spaces and its applications
• A Poincare's inequality with non-uniformly degenerating gradient
• On some nonuniform cases of the weighted Sobolev and Poincaré inequalities
• Combined effects of concave–convex nonlinearities and indefinite potential in some elliptic problems
• Weighted Poincare and Sobolev Inequalities and Estimates for Weighted Peano Maximal Functions
• Variational problems related to self-similar solutions of the heat equation
• Elliptic and Parabolic BMO and Harnack's Inequality
• SOBOLEV VERSUS HÖLDER LOCAL MINIMIZERS AND GLOBAL MULTIPLICITY FOR SOME QUASILINEAR ELLIPTIC EQUATIONS
• Positive solutions for nonlinear elliptic equations with fast increasing weights

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