Multiple solutions for nonhomogeneous elliptic equations involving critical Sobolev exponent

DOI10.1017/S0308210500030183zbMath0814.35026OpenAlexW2105302474MaRDI QIDQ4328038

Huan-Song Zhou, Gongbao Li, Dao-Min Cao

Publication date: 27 March 1995

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0308210500030183

zbMATH Keywords

mountain pass theoremmultiple solutionscritical Sobolev exponentEkeland's variational principle

Mathematics Subject Classification ID

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

Related Items (15)

Multiplicity of solutions for a nonhomogeneous quasilinear elliptic problem with critical growth ⋮ Multiplicity and uniqueness of positive solutions for nonhomogeneous semilinear elliptic equation with critical exponent ⋮ A nonhomogeneous fractional \(p\)-Kirchhoff type problem involving critical exponent in \(\mathbb{R}^N\) ⋮ Multiplicity of positive solutions for a class of concave-convex elliptic equations with critical growth ⋮ Multiplicity of solutions for a class of quasilinear equations with exponential critical growth ⋮ Existence and multiplicity of positive solutions for a class of elliptic equations involving critical Sobolev exponents ⋮ Critical singular problems via concentration-compactness lemma ⋮ Critical problem for the fractional Laplacian operator with sign changing data ⋮ Existence of solutions for a critical fractional Kirchhoff type problem in \(\mathbb{R}^N\) ⋮ Positive solutions for a nonhonogeneous semilinear elliptic problem with supercritical exponent ⋮ Multiple positive solutions of nonhomogeneous equations involving the \(p\)-Laplacian ⋮ On inhomogeneous biharmonic equations involving critical exponents ⋮ Nonlinear perturbations of a periodic elliptic problem with critical growth. ⋮ Nontrivial solutions for a class of semilinear biharmonic problems involving critical exponents ⋮ Multiple positive solutions for a semilinear elliptic equation with critical Sobolev exponent

Cites Work

• On nonhomogeneous elliptic equations involving critical Sobolev exponent
• Best constant in Sobolev inequality
• Monotone methods for semilinear elliptic equations in unbounded domains
• Dual variational methods in critical point theory and applications
• A Relation Between Pointwise Convergence of Functions and Convergence of Functionals
• Positive solutions of nonlinear elliptic equations involving critical sobolev exponents
• Nonconvex minimization problems

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