On existence of positive solutions for a class of Caffarelli–Kohn–Nirenberg type equations

DOI10.4064/cm120-1-4zbMath1197.35124OpenAlexW2051505355MaRDI QIDQ3563881

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Publication date: 1 June 2010

Published in: Colloquium Mathematicum (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/cm120-1-4

zbMATH Keywords

Nehari manifoldcritical nonlinearityCaffarelli-Kohn-Nirenberg inequalitysign-changing weight functionconcentration-compactness principle at infinity

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Critical exponents in context of PDEs (35B33) Variational methods for second-order elliptic equations (35J20) Singular elliptic equations (35J75)

Related Items (6)

Existence of nontrivial solutions for a class of Kirchhoff equation with indefinite and 3-linear nonlinearity ⋮ Higher order singular problems of Caffarelli-Kohn-Nirenberg-Lin type ⋮ Nontrivial solutions for a class of critical elliptic equations of Caffarelli-Kohn-Nirenberg type ⋮ Infinitely many solutions for semilinear elliptic problems with sign-changing weight functions ⋮ Multiple solutions for weighted Kirchhoff equations involving critical Hardy-Sobolev exponent ⋮ The Nehari manifold for indefinite Kirchhoff problem with Caffarelli-Kohn-Nirenberg type critical growth

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