A multiplicity result for quasilinear elliptic equations involving critical sobolev exponents
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Publication:4008928
DOI10.1016/0362-546X(92)90210-6zbMath0762.35034OpenAlexW1983815794MaRDI QIDQ4008928
Publication date: 27 September 1992
Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0362-546x(92)90210-6
Palais-Smale conditionminimax principleconcentration compactness principle\(k\) pairs of nontrivial solutions
Nonlinear boundary value problems for linear elliptic equations (35J65) Variational methods for second-order elliptic equations (35J20) Variational problems concerning extremal problems in several variables; Yang-Mills functionals (58E15)
Related Items (31)
Multiplicity of solutions for quasilinear elliptic problems involving critical Sobolev exponents ⋮ Existence of solutions for thep-Laplacian with critical Sobolev exponent and convection ⋮ Multiple solutions for critical Choquard-Kirchhoff type equations ⋮ Positive solutions of certain elliptic equations involving critical Sobolev exponents ⋮ Multiple solutions for a quasilinear Choquard equation with critical nonlinearity ⋮ Existence results for non-local elliptic systems with Hardy-Littlewood-Sobolev critical nonlinearities ⋮ Existence and nondegeneracy of ground states in critical free boundary problems ⋮ On some multiple solutions for a \(p(x)\)-Laplacian equation with critical growth ⋮ \(p\)-Laplacian problems with critical Sobolev exponents ⋮ Critical nonlocal Schrödinger-Poisson system on the Heisenberg group ⋮ Multiplicity of solutions to the generalized extensible beam equations with critical growth ⋮ Existence and multiplicity of solutions for a \(p(x)\)-Laplacian equation with critical growth ⋮ On the critical Choquard-Kirchhoff problem on the Heisenberg group ⋮ Existence and multiplicity of solutions for critical nonlocal equations with variable exponents ⋮ Existence results for Kirchhoff equations with Hardy-Littlewood-Sobolev critical nonlinearity ⋮ Some existence results for critical nonlocal Choquard equation on the Heisenberg group ⋮ Critical Kirchhoff equations involving the p-sub-Laplacians operators on the Heisenberg group ⋮ Unnamed Item ⋮ High and low perturbations of the critical Choquard equation on the Heisenberg group ⋮ Results of singular Direchelet problem involving the $p(x)$-laplacian with critical growth ⋮ Existence and multiplicity of solutions for discontinuous problems with critical Sobolev exponents ⋮ Unnamed Item ⋮ A note on the combination between local and nonlocal p-Laplacian operators ⋮ The existence of three solutions for \(p\)-Laplacian problems with critical and supercritical growth ⋮ Existence and multiplicity of solutions for Kirchhoff equations with Hardy-Littlewood-Sobolev critical nonlinearity ⋮ The Brezis-Nirenberg problem for the fractional \(p\)-Laplacian ⋮ Bifurcation and multiplicity results for critical fractionalp-Laplacian problems ⋮ A quasilinear elliptic equation with critical growth on compact Riemannian manifold ⋮ Multiplicity of solutions for a class of quasilinear problems involving the \(1\)-Laplacian operator with critical growth ⋮ Multiplicity of solutions for quasilinear elliptic systems with singularity ⋮ Multiple solutions for a class of quasilinear problems with double criticality
Cites Work
- The concentration-compactness principle in the calculus of variations. The limit case. II
- Semilinear elliptic equations involving critical Sobolev exponents
- Existence and nonexistence results for m-Laplace equations involving critical Sobolev exponents
- Dual variational methods in critical point theory and applications
- A Relation Between Pointwise Convergence of Functions and Convergence of Functionals
- Quasilinear elliptic equations involving critical Sobolev exponents
- Positive solutions of nonlinear elliptic equations involving critical sobolev exponents
- Positive solutions for some semilinear elliptic equations with critical sobolev exponents
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