Multiple positive solutions of nonhomogeneous equations involving the \(p\)-Laplacian

DOI10.1016/S0362-546X(99)00248-5zbMath0980.35052OpenAlexW2027152427WikidataQ127310103 ScholiaQ127310103MaRDI QIDQ5930174

Yi Sheng Huang

Publication date: 4 March 2002

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0362-546x(99)00248-5

zbMATH Keywords

critical Sobolev exponentnumber of positive solutions

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Variational methods for second-order elliptic equations (35J20)

Related Items (5)

Multiplicity of positive solutions for a class of concave-convex elliptic equations with critical growth ⋮ Existence and multiplicity of positive solutions for a class of elliptic equations involving critical Sobolev exponents ⋮ Multiple positive solutions for a Schrödinger-Poisson-Slater equation with critical growth ⋮ Multiple positive solutions for singular elliptic problems involving concave-convex nonlinearities and sign-changing potential ⋮ Multiple positive solutions for a semilinear equation with prescribed singularity

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• Critical \(p\)-Laplacian problems in \(\mathbf R^ N\)
• Minimax theorems
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• Multiplicity of Solutions for Elliptic Problems with Critical Exponent or with a Nonsymmetric Term
• Multiple solutions for nonhomogeneous elliptic equations involving critical Sobolev exponent
• Extrema problems with critical sobolev exponents on unbounded domains

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