Existence of multiple positive solutions for semilinear elliptic systems involving \(m\) critical Hardy-Sobolev exponents and an \(m\) sign-changing weight function

DOI10.1016/S0252-9602(14)60022-9zbMath1313.35118OpenAlexW2091003281MaRDI QIDQ2514911

Nemat Nyamoradi, Tsing-San Hsu

Publication date: 11 February 2015

Published in: Acta Mathematica Scientia. Series B. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0252-9602(14)60022-9

zbMATH Keywords

Nehari manifoldcritical Hardy-Sobolev exponentnontrivial non-negative solutions

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) Critical exponents in context of PDEs (35B33) Semilinear elliptic equations (35J61) Quasilinear elliptic equations (35J62)

Related Items (4)

On \(G\)-invariant solutions of a singular biharmonic elliptic system involving multiple critical exponents in \(R^N\) ⋮ On symmetric solutions of a critical semilinear elliptic system involving the Caffarelli-Kohn-Nirenberg inequality in \(\mathbb{R}^{N}\) ⋮ Biharmonic systems involving a Rellich-type potential and multiple critical strongly coupled terms ⋮ Symmetric solutions for singular quasilinear elliptic systems involving multiple critical Hardy-Sobolev exponents

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