BIFURCATIONS FOR QUASILINEAR ELLIPTIC EQUATIONS, II

DOI10.1142/S0219199708002958zbMath1165.35037MaRDI QIDQ3542858

Zhi-Qiang Wang, Jia Quan Liu

Publication date: 1 December 2008

Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)

zbMATH Keywords

quasilinear elliptic equationsbifurcation point

Mathematics Subject Classification ID

Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Nonlinear elliptic equations (35J60) Bifurcations in context of PDEs (35B32)

Related Items (8)

Structure of the set of positive solutions of a non-linear Schrödinger equation ⋮ Existence and multiplicity of nontrivial solutions to quasilinear elliptic equations ⋮ Existence of solutions for a modified nonlinear Schrödinger system ⋮ Multiple positive solutions to a class of modified nonlinear Schrödinger equation in a high dimension ⋮ Uniqueness and nondegeneracy of the ground state for a quasilinear Schrödinger equation with a small parameter ⋮ Quasilinear elliptic equations via perturbation method ⋮ Existence of solutions for a general quasilinear elliptic system via perturbation method ⋮ Multiple positive solutions to a class of modified nonlinear Schrödinger equations

Cites Work

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• Quasilinear elliptic eigenvalue problems
• Variational bifurcation for quasilinear elliptic equations
• Mountain pass theorems and global homeomorphism theorems
• Bifurcations for quasilinear Schrödinger equations. I
• Die Lösung der Verzweigungsgleichungen für nichtlineare Eigenwertprobleme
• An extension of the Rabinowitz bifurcation theorem to Lipschitz potential operators in Hilbert spaces
• A bifurcation theorem for potential operators

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