Multiple solutions for a coercive quasilinear elliptic equation via Morse theory

DOI10.1186/S13661-021-01494-WzbMath1489.35146OpenAlexW3165014195MaRDI QIDQ2126748

Lifang Fu, Ming-Zheng Sun

Publication date: 19 April 2022

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13661-021-01494-w

zbMATH Keywords

existenceMorse theory\(p\)-Laplacian

Mathematics Subject Classification ID

Existence problems for PDEs: global existence, local existence, non-existence (35A01) Quasilinear elliptic equations with (p)-Laplacian (35J92)

Cites Work

• On nonlinear nonhomogeneous resonant Dirichlet equations
• Applications of Morse theory to some nonlinear elliptic equations with resonance at zero
• Marino-Prodi perturbation type results and Morse indices of minimax critical points for a class of functionals in Banach spaces
• Qualitative phenomena for some classes of quasilinear elliptic equations with multiple resonance
• The Conley index and the critical groups via an extension of Gromoll-Meyer theory
• Infinite dimensional Morse theory and multiple solution problems
• Critical groups computations on a class of Sobolev Banach spaces via Morse index
• Multiple solutions for the coercive semilinear elliptic equations
• Critical groups at zero and multiple solutions for a quasilinear elliptic equation
• Notes on the bifurcation theorem
• On the Equation div( | ∇u | p-2 ∇u) + λ | u | p-2 u = 0
• Critical groups and multiple solutions for Kirchhoff type equations with critical exponents
• Methods in Nonlinear Analysis
• Morse index estimates for continuous functionals associated with quasilinear elliptic equations.
• Semilinear elliptic boundary value problems with double resonance between two consecutive eigenvalues

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