Solutions of perturbed \(p\)-Laplacian equation with critical nonlinearity and magnetic fields

DOI10.1186/1687-2770-2013-217zbMath1296.35079OpenAlexW2100193861WikidataQ59295127 ScholiaQ59295127MaRDI QIDQ2252590

Juan Jiang, Hui Xing Zhang

Publication date: 18 July 2014

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

Full work available at URL: https://doi.org/10.1186/1687-2770-2013-217

zbMATH Keywords

mountain pass theoremmagnetic fields\(p\)-Laplacian equationcritical nonlinearity

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Critical exponents in context of PDEs (35B33) Nonlinear elliptic equations (35J60) Entire solutions to PDEs (35B08) Quasilinear elliptic equations with (p)-Laplacian (35J92)

Cites Work

• Existence of nontrivial solutions for \(p\)-Laplacian equations in \(\mathbb R^N\)
• Global compactness results for quasilinear elliptic problems with combined critical Sobolev-Hardy terms
• Bound states for semilinear Schrödinger equations with sign-changing potential
• Multi-bump bound states of nonlinear Schrödinger equations with electromagnetic fields and critical frequency
• On the least energy solutions of nonlinear Schrödinger equations with electromagnetic fields
• Semi-classical states for nonlinear Schrödinger equations
• Some results on a class of nonlinear Schrödinger equations
• Multi-peak solutions for a class of nonlinear Schrödinger equations
• On positive multi-lump bound states of nonlinear Schrödinger equations under multiple well potential
• Nonspreading wave packets for the cubic Schrödinger equation with a bounded potential
• Semiclassical stationary states of nonlinear Schrödinger equations with an external magnetic field.
• Multiplicity of positive solutions to a \(p\)-Laplacian equation involving critical nonlinearity.
• Dual variational methods in critical point theory and applications
• On an electromagnetic Schrödinger equation with critical growth
• \(p(x)\)-Laplacian equations in \(\mathbb R^N\) with periodic data and nonperiodic perturbations
• Eigenvalue problems for the \(p\)-Laplacian
• On some nonlinear elliptic problems for \(p\)-Laplacian in \(\mathbb{R}^N\)
• Solutions of perturbed Schrödinger equations with critical nonlinearity
• Existence of Semiclassical Bound States of Nonlinear Schrödinger Equations with Potentials of the Class (V)_a
• Multiple solutions for quasi-linear PDEs involving the critical Sobolev and Hardy exponents

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