Existence of multiple positive solutions to singular elliptic systems involving critical exponents

DOI10.1016/j.na.2011.08.058zbMath1232.35075OpenAlexW1994096758MaRDI QIDQ651128

Zhongli Wei, Jian Zhang

Publication date: 8 December 2011

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2011.08.058

zbMATH Keywords

critical exponentvariational methodsingular elliptic system

Mathematics Subject Classification ID

Variational methods involving nonlinear operators (47J30) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Positive solutions to PDEs (35B09) Singular elliptic equations (35J75)

Related Items (1)

Nonlinear elliptic systems involving Hardy-Sobolev criticalities

Cites Work

• Unnamed Item
• Solutions for semilinear elliptic equations with critical exponents and Hardy potential
• High-energy positive solutions for a critical growth Dirichlet problem in noncontractible domains
• Quasilinear elliptic systems with critical Sobolev exponents in \(\mathbb {R}^N\)
• On the elliptic problems involving multi-singular inverse square potentials and multi-critical Sobolev-Hardy exponents
• The concentration-compactness principle in the calculus of variations. The limit case. I
• Existence of solutions for singular elliptic systems with critical exponents
• Some remarks on systems of elliptic equations doubly critical in the whole \(\mathbb R^N\)
• A remark on the existence of multiple solutions to a multiparameter nonlinear elliptic system
• Critical point theory and Hamiltonian systems
• Hardy inequalities and some critical elliptic and parabolic problems
• The role played by space dimension in elliptic critical problems
• On systems of elliptic equations involving subcritical or critical Sobolev exponents
• Positive solutions for singular critical elliptic 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
• Dual variational methods in critical point theory and applications
• Existence results for critical singular elliptic systems
• A semilinear elliptic system involving nonlinear boundary condition and sign-changing weight function
• The Nehari manifold for a semilinear elliptic system involving sign-changing weight functions
• Multiple solutions for quasi-linear PDEs involving the critical Sobolev and Hardy exponents
• Existence of solutions for singular critical growth semilinear elliptic equations

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