On the multiplicity of positive solutions for \(p\)-Laplace equations via Morse theory

DOI10.1016/J.JDE.2009.07.035zbMath1185.35103OpenAlexW2064767129MaRDI QIDQ1039758

Giuseppina Vannella, Silvia Cingolani

Publication date: 23 November 2009

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2009.07.035

zbMATH Keywords

critical groupsMorse theory\(p\)-Laplace equationsperturbation results

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Critical exponents in context of PDEs (35B33) Nonlinear elliptic equations (35J60) Perturbations in context of PDEs (35B20) Variational methods for second-order elliptic equations (35J20) Quasilinear elliptic equations (35J62) Quasilinear elliptic equations with (p)-Laplacian (35J92)

Related Items (12)

A multiplicity result via Ljusternick-Schnirelmann category and Morse theory for a fractional Schrödinger equation in \(\mathbb{R}^N\) ⋮ Multiplicity of positive solutions for a quasilinear Schrödinger equation with an almost critical nonlinearity ⋮ Multiple solutions for a Schrödinger–Bopp–Podolsky system with positive potentials ⋮ On local Morse theory for \(p\)-area functionals, \(p > 2\) ⋮ Infinitely many solutions for quasilinear elliptic equations involving double critical terms and boundary geometry ⋮ The existence of a nontrivial solution for a \(p\)-Kirchhoff type elliptic equation in \(\mathbb R^N\) ⋮ Existence of solutions to a class of \(p\)-Kirchhoff equations via Morse theory ⋮ Multiplicity results for the fractional Laplacian in expanding domains ⋮ Towards a Morse theory on Banach spaces via ultrafunctions ⋮ Infinitely many solutions for \(p\)-Laplacian equation involving critical Sobolev growth ⋮ Multiplicity and nondegeneracy of positive solutions to quasilinear equations on compact Riemannian manifolds ⋮ Multiple positive solutions for a p-Laplace Benci–Cerami type problem (1 < p < 2), via Morse theory

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