Quasilinear Equations via Elliptic Regularization Method

DOI10.1515/ans-2013-0215zbMath1281.35048OpenAlexW2507469346MaRDI QIDQ5299008

Zhi-Qiang Wang, Xiang-Qing Liu, Jia Quan Liu

Publication date: 25 June 2013

Published in: Advanced Nonlinear Studies (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/ans-2013-0215

zbMATH Keywords

quasilinear equationsnodal solutionselliptic regularization

Mathematics Subject Classification ID

Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) A priori estimates in context of PDEs (35B45) Quasilinear elliptic equations (35J62)

Related Items (7)

Multiple solutions for critical quasilinear elliptic equations ⋮ Existence of multiple solutions for modified Schrödinger-Kirchhoff-Poisson type systems via perturbation method with sign-changing potential ⋮ Infinitely many solutions for critical quasilinear equations involving Hardy potential ⋮ Solutions for critical quasilinear elliptic equations in RN ⋮ Existence and asymptotic behavior of positive solutions for a class of quasilinear Schrödinger equations ⋮ Multiple solutions for elliptic equations with quasilinear perturbation ⋮ On a Brezis-Nirenberg type quasilinear problem

Cites Work

• Some remarks on critical point theory for nondifferentiable functionals
• A critical point theory for nonsmooth functionals
• Mountain pass theorems and global homeomorphism theorems
• Morse theory for continuous functionals
• Metric critical point theory. I: Morse regularity and homotopic stability of a minimum
• Dual variational methods in critical point theory and applications
• Ljusternik-Schnirelman theory in partially ordered Hilbert spaces
• Nodal solutions of a p-Laplacian equation

This page was built for publication: Quasilinear Equations via Elliptic Regularization Method