A variational method for solving quasilinear elliptic systems involving symmetric multi-polar potentials

DOI10.7153/dea-2020-12-23zbMath1474.35023OpenAlexW3110136890MaRDI QIDQ5858093

Ali Jabar Rashidi, Mohsen Shekarbaigi

Publication date: 9 April 2021

Published in: Differential Equations & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7153/dea-2020-12-23

zbMATH Keywords

quasilinear elliptic systemvariational methodcritical Hardy-Sobolev exponent

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) Critical exponents in context of PDEs (35B33) Degenerate elliptic equations (35J70)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the singular elliptic systems involving multiple critical Sobolev exponents
• The principle of symmetric criticality
• Remarks on singular critical growth elliptic equations
• The concentration-compactness principle in the calculus of variations. The limit case. I
• The concentration-compactness principle in the calculus of variations. The limit case. II
• The role played by space dimension in elliptic critical problems
• Quasilinear elliptic problems with critical exponents and Hardy terms
• On positive entire solutions to a class of equations with a singular coefficient and critical exponent
• A strong maximum principle for some quasilinear elliptic equations
• Quasilinear elliptic problems involving multiple critical Hardy-Sobolev exponents
• On the quasilinear elliptic problems with critical Sobolev-Hardy exponents and Hardy terms
• Solutions to critical elliptic equations with multi-singular inverse square potentials
• Concentration compactness principles for the systems of critical elliptic equations
• Variational Analysis in Sobolev and BV Spaces
• Multiplicity of Solutions for Elliptic Problems with Critical Exponent or with a Nonsymmetric Term
• Multiple solutions for quasi-linear PDEs involving the critical Sobolev and Hardy exponents
• Nonlinear Schrödinger equations with Hardy potential and critical nonlinearities
• Elliptic Equations with Multi-Singular Inverse-Square Potentials and Critical Nonlinearity
• Existence of solutions for singular critical growth semilinear elliptic equations