Elliptic systems involving multiple strongly coupled critical terms

DOI10.1016/J.AML.2011.09.026zbMath1244.35042OpenAlexW2065300580MaRDI QIDQ427629

Dongsheng Kang, Mingjian Cai

Publication date: 14 June 2012

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2011.09.026

zbMATH Keywords

solutioncritical exponentvariational methodelliptic systemHardy inequality

Mathematics Subject Classification ID

Positive solutions to PDEs (35B09) Singular elliptic equations (35J75) Higher-order elliptic systems (35J48)

Related Items (3)

On \(G\)-invariant solutions of a singular biharmonic elliptic system involving multiple critical exponents in \(R^N\) ⋮ Multiplicity of positive solutions for a semilinear elliptic system with strongly coupled critical terms and concave nonlinearities ⋮ Positive symmetric results for a weighted quasilinear elliptic system with multiple critical exponents in \(\mathbb{R}^{N}\)

Cites Work

• On the singular elliptic systems involving multiple critical Sobolev exponents
• On elliptic system involving critical Sobolev-Hardy exponents
• Existence of solutions for singular elliptic systems with critical exponents
• Some remarks on systems of elliptic equations doubly critical in the whole \(\mathbb R^N\)
• On a singular elliptic system at resonance
• The role played by space dimension in elliptic critical problems
• On systems of elliptic equations involving subcritical or critical Sobolev exponents
• 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
• Positive solutions of nonlinear elliptic equations involving critical sobolev exponents

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