A priori estimates for solutions to nonlinear elliptic equations

DOI10.1007/BF00378165zbMath0807.35040OpenAlexW2001046876MaRDI QIDQ1261958

Wenxiong Chen, Congming Li

Publication date: 7 September 1993

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00378165

zbMATH Keywords

method of moving planes\(L^ \infty\)-a priori estimatestwo-dimensional semilinear elliptic partial differential equation

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) A priori estimates in context of PDEs (35B45)

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Cites Work

• Unnamed Item
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• Monotonicity, symmetry and antisymmetry of solutions of semilinear elliptic equations
• Symmetry and related properties via the maximum principle
• A priori estimates and existence of positive solutions of semilinear elliptic equations
• Classification of solutions of some nonlinear elliptic equations
• A priori bounds for positive solutions of nonlinear elliptic equations in two variables
• Positive solutions of nonlinear elliptic boundary value problems
• Some continuation and variational methods for positive solutions of nonlinear elliptic eigenvalue problems
• Existence theorems, qualitative results and priori bounds for a class of non-linear Dirichlet problems
• Mathematical problems from combustion theory
• Non-linear heat generation and stability of the temperature distribution in conducting solids
• Quasilinear Dirichlet problems driven by positive sources
• Remarks on some quasilinear elliptic equations
• On a class of superlinear elliptic problems
• Monotonicity and Symmetry of Solutions of Fully Nonlinear Elliptic Equations on Bounded domains
• Nonlinear diffusion induced by nonlinear sources
• Membrane buckling: A study of solution multiplicity