The effect of domain topology on the number of positive solutions for singular elliptic problems involving the Caffarelli-Kohn-Nirenberg inequalities

DOI10.1016/j.jmaa.2006.12.057zbMath1157.35044OpenAlexW2048696601MaRDI QIDQ2371846

Zifei Shen, Min-Bo Yang

Publication date: 9 July 2007

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2006.12.057

zbMATH Keywords

positive solutionsCaffarelli-Kohn-Nirenberg inequalitiesLusternik-Schnirelmann theory

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Nonlinear elliptic equations (35J60) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Abstract bifurcation theory involving nonlinear operators (47J15)

Related Items (5)

Singular and degenerate boundary value problems related to the electricity theory ⋮ On \(G\)-symmetric solutions of critical elliptic equations of Caffarelli-Kohn-Nirenberg type ⋮ Nontrivial solutions for a class of critical elliptic equations of Caffarelli-Kohn-Nirenberg type ⋮ Multiplicity of solutions to the weighted critical quasilinear problems ⋮ Multiple positive solutions for Robin problem involving critical weighted Hardy-Sobolev exponents with boundary singularities

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