Multiple positive solutions for semilinear elliptic equations with critical weighted Hardy-Sobolev exponents

DOI10.1016/J.NA.2010.12.015zbMath1210.35109OpenAlexW2321854897MaRDI QIDQ631739

Chun-Lei Tang, Xing-Ping Wu, Xiao-Jiao Huang

Publication date: 14 March 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.2010.12.015

zbMATH Keywords

positive solutionEkeland variational principlemountain pass lemma\((PS)_c\) conditioncritical weighted Hardy-Sobolev exponents

Mathematics Subject Classification ID

Critical exponents in context of PDEs (35B33) Weak solutions to PDEs (35D30) Variational methods for second-order elliptic equations (35J20) Semilinear elliptic equations (35J61) Positive solutions to PDEs (35B09)

Related Items (3)

Existence and multiplicity of symmetric solutions for semilinear elliptic equations with singular potentials and critical Hardy-Sobolev exponents ⋮ Existence and multiplicity of positive solutions for elliptic equation with critical weighted Hardy-Sobolev exponents and boundary singularities ⋮ Nontrivial solutions for a class of critical elliptic equations of Caffarelli-Kohn-Nirenberg type

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