Some concentration phenomena in degenerate semilinear elliptic problems

DOI10.1016/0362-546X(94)00127-4zbMath0829.35043MaRDI QIDQ4839232

Donato Passaseo

Publication date: 25 January 1996

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

zbMATH Keywords

multiplicity of solutions

Mathematics Subject Classification ID

Degenerate elliptic equations (35J70)

Related Items (18)

NontriviaL solutions of some nonlinear elliptic problems ⋮ The Cauchy problem for a class of parabolic equations in weighted variable Sobolev spaces: existence and asymptotic behavior ⋮ Bifurcation points of a singular boundary-value problem on \((0,1)\) ⋮ Nonexistence of solutions for elliptic equations with supercritical nonlinearity in nearly nontrivial domains ⋮ Nonexistence of solutions for Dirichlet problems with supercritical growth in tubular domains ⋮ Nonexistence results for elliptic problems with supercritical growth in thin planar domains ⋮ Unnamed Item ⋮ On a class of singular elliptic problems with nonradial first-order terms. ⋮ Existence of solution for a degenerate \(p(x)\)-Laplacian equation in \(\mathbb R^N\) ⋮ On multiplicity and concentration behavior of solutions for a critical system with equations in divergence form ⋮ Uniqueness of solutions for nonlinear Dirichlet problems with supercritical growth ⋮ Nonlinear elliptic problems approximating degenerate equations ⋮ Multiplicity of positive solutions for a class of elliptic equations in divergence form ⋮ Concentration, existence of a ground state and multiplicity of solutions for a subcritical elliptic system via penalization method ⋮ Singular elliptic problems with lack of compactness ⋮ A critically degenerate elliptic Dirichlet problem, spectral theory and bifurcation ⋮ Non-homogeneous Dirichlet boundary value problems in weighted Sobolev spaces ⋮ Existence and nonexistence of solutions of nonlinear Dirichlet problems with first order terms

Cites Work

• A global compactness result for elliptic boundary value problems involving limiting nonlinearities
• The effect of the domain topology on the number of positive solutions of nonlinear elliptic problems
• Multiplicity of positive solutions of nonlinear elliptic equations with critical Sobolev exponent in some contractible domains
• The concentration-compactness principle in the calculus of variations. The limit case. II
• Dual variational methods in critical point theory and applications
• Nonexistence results for elliptic problems with supercritical nonlinearity in nontrivial domains
• Boundary value problems for some degenerate-elliptic operators
• Positive solutions of nonlinear elliptic equations involving critical sobolev exponents
• A Note on an Equation with Critical Exponent
• On a nonlinear elliptic equation involving the critical sobolev exponent: The effect of the topology of the domain
• The local regularity of solutions of degenerate elliptic equations
• Existence and multiplicity of positive solutions for nonlinear elliptic problems in exterior domains with “rich” topology
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