On multiplicity of solutions of Dirichlet problem for uniformly elliptic operator equations

DOI10.1016/j.jmaa.2005.12.014zbMath1293.35117OpenAlexW2092186511MaRDI QIDQ855629

Tianjiu Leng, Xian Wu

Publication date: 7 December 2006

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2005.12.014

zbMATH Keywords

Dirichlet problemweak solutioncritical pointCarathéodory functionSobolev's embedding

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Nonlinear elliptic equations (35J60) Weak solutions to PDEs (35D30) Variational methods for second-order elliptic equations (35J20)

Related Items (1)

A Brezis-Nirenberg splitting approach for nonlocal fractional equations

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• Multiplicity results for semilinear elliptic problems at resonance and with jumping nonlinearities
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• INFINITELY MANY SOLUTIONS OF THE NEUMANN PROBLEM FOR ELLIPTIC EQUATIONS INVOLVING THE p-LAPLACIAN
• Remarks on finding critical points
• Existence and multiplicity of solutions for a class of semilinear elliptic equations
• Variant fountain theorems and their applications

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