On a singular elliptic system at resonance

DOI10.1007/s10231-009-0106-9zbMath1189.35075OpenAlexW2092925169MaRDI QIDQ968031

Mohammed Bouchekif, Yasmina Nasri

Publication date: 3 May 2010

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10231-009-0106-9

zbMATH Keywords

variational methodssingular coefficientsBrézis-Nirenberg problemelliptic system at resonance

Mathematics Subject Classification ID

Critical exponents in context of PDEs (35B33) Nonlinear elliptic equations (35J60) Variational methods for elliptic systems (35J50) Variational methods for second-order elliptic equations (35J20) Second-order elliptic systems (35J47) Boundary value problems for second-order elliptic systems (35J57)

Related Items (14)

Multiplicity results for fractional systems crossing high eigenvalues ⋮ Existence result for semilinear elliptic systems involving critical exponents ⋮ Positive minimizers of the best constants and solutions to coupled critical quasilinear systems ⋮ Systems of elliptic equations involving multiple critical nonlinearities and different Hardy-type terms in \(\mathbb R^N\) ⋮ Elliptic systems involving critical nonlinearities and different Hardy-type terms ⋮ Multiplicity of positive solutions for a semilinear elliptic system with strongly coupled critical terms and concave nonlinearities ⋮ Semilinear systems involving multiple critical Hardy-Sobolev exponents and three singular points ⋮ Elliptic systems involving multiple strongly coupled critical terms ⋮ Elliptic systems involving multiple critical nonlinearities and symmetric multi-polar potentials ⋮ Quasilinear elliptic systems involving critical Hardy-Sobolev and Sobolev exponents ⋮ Multiplicity result for a critical elliptic system with concave-convex nonlinearities ⋮ Existence and asymptotic properties of solutions to elliptic systems involving multiple critical exponents ⋮ Existence and multiplicity of positive solutions to elliptic systems involving critical exponents ⋮ Infinitely many solutions to elliptic systems with critical exponents and Hardy potentials

Cites Work

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• Solutions for semilinear elliptic equations with critical exponents and Hardy potential
• On the elliptic problems with critical weighted Sobolev-Hardy exponents
• On positive solutions for a class of singular quasilinear elliptic systems
• Bifurcation and multiplicity results for nonlinear elliptic problems involving critical Sobolev exponents
• An existence result for nonliner elliptic problems involving critical Sobolev exponent
• A variational approach to subquadratic perturbations of elliptic systems
• Lower-order perturbations of critical growth nonlinearities in semilinear elliptic equations
• On systems of elliptic equations involving subcritical or critical Sobolev exponents
• Perturbation results of critical elliptic equations of Caffarelli-Kohn-Nirenberg type.
• Dual variational methods in critical point theory and applications
• Existence results for Brezis-Nirenberg problems with Hardy potential and singular coefficients
• Positive solutions of nonlinear elliptic equations involving critical sobolev exponents
• On the Best Constant for a Weighted Sobolev-Hardy Inequality
• Solutions for Semilinear Elliptic Systems with Critical Sobolev Exponent and Hardy Potential
• Nonzero solutions of a nonlinear elliptic system at resonance
• Existence of solutions for singular critical growth semilinear elliptic equations

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