Critical points in open sublevels and multiple solutions for parameter-depending quasilinear elliptic equations

zbMath1300.35053MaRDI QIDQ462162

Siegfried Carl, Roberto Livrea, Pasquale Candito

Publication date: 15 October 2014

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

Full work available at URL: https://projecteuclid.org/euclid.ade/1408367287

zbMATH Keywords

variational approach\(p\)-Laplaciannodal solutiondifferential inequality techniquesquasilinear elliptic Dirichlet problemmultiple constant-sign solutions

Mathematics Subject Classification ID

Partial differential inequalities and systems of partial differential inequalities (35R45) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Variational methods for second-order elliptic equations (35J20) Critical points of functionals in context of PDEs (e.g., energy functionals) (35B38) Quasilinear elliptic equations with (p)-Laplacian (35J92)

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\(\mathcal{D}^{1,2}(\mathbb{R}^N)\) versus \(C(\mathbb{R}^N)\) local minimizer and a Hopf-type maximum principle ⋮ \(\mathcal{D}^{1,2}(\mathbb{R}^N)\) versus \(C(\mathbb{R}^N)\) local minimizer on manifolds and multiple solutions for zero-mass equations in \(\mathbb{R}^N\) ⋮ Multiplicity of positive solutions for a degenerate nonlocal problem with \(p\)-Laplacian ⋮ Two solutions for a parametric singular p-Laplacian problem ⋮ Three solutions for parametric problems with nonhomogeneous \((a,2)\)-type differential operators and reaction terms sublinear at zero ⋮ Triple solutions for a damped impulsive differential equation

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