Biharmonic systems involving multiple Rellich-type potentials and critical Rellich-Sobolev nonlinearities

DOI10.3934/cpaa.2018019zbMath1386.35090OpenAlexW2769462613MaRDI QIDQ1691313

Dongsheng Kang, Liangshun Xu

Publication date: 15 January 2018

Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/cpaa.2018019

zbMATH Keywords

critical exponentbiharmonic equationsystemRellich potential

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) Critical exponents in context of PDEs (35B33) Nonlinear elliptic equations (35J60) Biharmonic and polyharmonic equations and functions in higher dimensions (31B30)

Related Items

Biharmonic systems involving a Rellich-type potential and multiple critical strongly coupled terms, The Brezis–Nirenberg problem for fractional systems with Hardy potentials, A critical \(p\)-biharmonic system with negative exponents

Cites Work

• Unnamed Item
• Unnamed Item
• Minimizers to Rayleigh quotients of critical elliptic systems involving different Hardy-type terms
• Elliptic systems involving critical nonlinearities and different Hardy-type terms
• Entire solutions for a class of variational problems involving the biharmonic operator and Rellich potentials
• Nonlinear critical problems for the biharmonic operator with Hardy potential
• Systems of critical elliptic equations involving Hardy-type terms and large ranges of parameters
• On Caffarelli-Kohn-Nirenberg-type inequalities for the weighted biharmonic operator in cones
• Critical polyharmonic problems with singular nonlinearities
• 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
• On positive entire solutions to a class of equations with a singular coefficient and critical exponent
• Asymptotic behavior and existence results for the biharmonic problems involving Rellich potentials
• Dual variational methods in critical point theory and applications
• Critical behavior for the polyharmonic operator with Hardy potential
• Concentration compactness principles for the systems of critical elliptic equations
• Positive solutions of nonlinear elliptic equations involving critical sobolev exponents
• Multiple solutions for quasi-linear PDEs involving the critical Sobolev and Hardy exponents
• Elliptic Equations with Multi-Singular Inverse-Square Potentials and Critical Nonlinearity