Some qualitative results of the critical groups for the \(p\)-Laplacian equations
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Publication:412621
DOI10.1016/j.na.2011.09.047zbMath1237.35015OpenAlexW2029347396MaRDI QIDQ412621
Publication date: 4 May 2012
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/j.na.2011.09.047
Critical points of functionals in context of PDEs (e.g., energy functionals) (35B38) Variational methods for higher-order elliptic equations (35J35) Quasilinear elliptic equations with (p)-Laplacian (35J92)
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Morse theory and local linking for a class of boundary value problems with impulsive effects ⋮ Existence of weak solutions for a \(p\)-Laplacian problem involving Dirichlet boundary condition ⋮ Existence of solutions for fractional Kirchhoff–Schrödinger–Poisson equations via Morse theory ⋮ Five nontrivial solutions of superlinear elliptic problem ⋮ Existence and multiplicity of systems of Kirchhoff-type equations with general potentials ⋮ Multiple solutions for the p-Laplacian equations with concave nonlinearities via Morse theory ⋮ Unnamed Item ⋮ Applications of Morse theory to some nonlinear elliptic equations with resonance at zero ⋮ Critical groups and multiple solutions for Kirchhoff type equations with critical exponents ⋮ Existence of solutions to a class of \(p\)-Kirchhoff equations via Morse theory ⋮ Multiplicity results for a class of boundary value problems with impulsive effects ⋮ Some bifurcation results and multiple solutions for the \(p\)-Laplacian equation ⋮ Existence of least energy positive, negative and nodal solutions for a class of \(p \& q\)-problems with potentials vanishing at infinity ⋮ Critical groups at zero and multiple solutions for a quasilinear elliptic equation ⋮ Nontrivial solutions of a semilinear elliptic problem with resonance at zero ⋮ Application of Morse theory for some damped Dirichlet nonlinear impulsive differential equations
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