Multiple minimal nodal solutions for a quasilinear Schrödinger equation with symmetric potential

DOI10.1016/J.JMAA.2004.09.012zbMath1134.35335OpenAlexW1998524678MaRDI QIDQ1772294

Marcelo F. Furtado

Publication date: 18 April 2005

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2004.09.012

zbMATH Keywords

Schrödinger equation\(p\)-LaplacianSymmetryEquivariant category

Mathematics Subject Classification ID

Variational methods involving nonlinear operators (47J30) Nonlinear elliptic equations (35J60) Variational methods for second-order elliptic equations (35J20)

Related Items (4)

Existence and multiplicity of positive solutions to a class of quasilinear elliptic equations in \(\mathbb R^N\) ⋮ Multiple positive and 2-nodal symmetric solutions of elliptic problems with critical nonlinearity ⋮ Existence and convergence of solutions for \(p\)-Laplacian systems with homogeneous nonlinearities on graphs ⋮ Multiplicity of solutions for a class of quasilinear Schrödinger systems in \(\mathbb R^N\)

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• The effect of the domain topology on the number of minimal nodal solutions of an elliptic equation at critical growth in a symmetric domain

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