EXISTENCE OF SOLUTIONS FOR A CLASS OF QUASILINEAR ELLIPTIC SYSTEMS WITH HARDY POTENTIAL

DOI10.11948/2016069zbMath1463.35067OpenAlexW2500532996MaRDI QIDQ5121363

Chuanzhi Bai

Publication date: 14 September 2020

Published in: Journal of Applied Analysis & Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.11948/2016069

zbMATH Keywords

Morse theoryHardy potentialquasilinear elliptic systems

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Nonlinear elliptic equations (35J60) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30)

Cites Work

• Unnamed Item
• On some quasilinear elliptic systems with singular and sign-changing potentials
• Multiplicity of positive solutions for a singular elliptic system with critical Sobolev-Hardy and concave exponents
• Existence of solutions for quasilinear elliptic equations
• Existence results for elliptic problems with Hardy potential
• Hardy inequalities and some critical elliptic and parabolic problems
• Comparison theorems for some quasilinear degenerate elliptic operators and applications to symmetry and monotonicity results
• Existence results for critical singular elliptic systems
• Solutions for singular elliptic systems involving Hardy-Sobolev critical nonlinearity
• Existence results for perturbations of the p-Laplacian
• Multiple nontrivial solutions to a \(p\)-Kirchhoff equation
• Remarks on multiple nontrivial solutions for quasi-linear resonant problems

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