A variational approach to a class of quasilinear elliptic equations not in divergence form

DOI10.3934/dcdss.2012.5.819zbMath1266.35087OpenAlexW2331825085MaRDI QIDQ449524

Raffaella Servadei, Michele Matzeu

Publication date: 30 August 2012

Published in: Discrete and Continuous Dynamical Systems. Series S (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdss.2012.5.819

zbMATH Keywords

variational methodsquasilinear elliptic equationsiterative techniquescritical points theoryregularity results

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Nonlinear boundary value problems for linear elliptic equations (35J65) Weak solutions to PDEs (35D30) Variational methods for second-order elliptic equations (35J20) Quasilinear elliptic equations (35J62)

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Existence of solution to Kirchhoff type problem with gradient nonlinearity and a perturbation term ⋮ Sign-changing solutions for semilinear elliptic equations with dependence on the gradient via the Nehari method ⋮ Existence of solutions for a bi-nonlocal fractional \(p\)-Kirchhoff type problem ⋮ Multiple solutions for some quasilinear equation of \(N\)-Laplacian type and containing a gradient term ⋮ A semilinear elliptic PDE not in divergence form via variational methods ⋮ Multiple solutions with sign information for semilinear Neumann problems with convection

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