Positive solutions for a quasilinear Schrödinger equation with critical growth

DOI10.1007/s10884-011-9231-4zbMath1244.35045OpenAlexW2000647852WikidataQ115383570 ScholiaQ115383570MaRDI QIDQ2429383

Marcelo F. Furtado, Giovany M. Figueiredo

Publication date: 27 April 2012

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

Full work available at URL: https://doi.org/10.1007/s10884-011-9231-4

zbMATH Keywords

positive solutionsquasilinear Schrödinger equationLjusternik-Schnirelmann theorycritical problems

Mathematics Subject Classification ID

Critical exponents in context of PDEs (35B33) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Variational methods for elliptic systems (35J50) Positive solutions to PDEs (35B09)

Related Items (11)

Positive solutions for generalized quasilinear Schrödinger equations with potential vanishing at infinity ⋮ Semiclassical states of p-Laplacian equations with a general nonlinearity in critical case ⋮ Concentration phenomena for a fractional relativistic Schrödinger equation with critical growth ⋮ Concentration of solutions for a fractional relativistic Schrödinger-Choquard equation with critical growth ⋮ On the energy functionals derived from a non-homogeneous \(p\)-Laplacian equation: \(\Gamma\)-convergence, local minimizers and stable transition layers ⋮ Multiple positive solutions to critical p-Laplacian equations with vanishing potential ⋮ Existence and concentration of positive solutions for \(p\)-fractional Schrödinger equations ⋮ Quasilinear Scalar Field Equations Involving Critical Sobolev Exponents and Potentials Vanishing at Infinity ⋮ Concentrating solutions for a magnetic Schrödinger equation with critical growth ⋮ Highly oscillatory solutions of a Neumann problem for a \(p\)-Laplacian equation ⋮ A multiplicity result for a \((p,q)\)-Schrödinger-Kirchhoff type equation

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