Remarks on elliptic problems involving the Caffarelli-Kohn-Nirenberg inequalities

DOI10.1090/S0002-9939-07-09229-5zbMath1133.35045OpenAlexW1968321889MaRDI QIDQ5441163

Shuangjie Peng, Gongbao Li

Publication date: 8 February 2008

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-07-09229-5

zbMATH Keywords

regularityLiouville type theoremelliptic problemsCaffarelli-Kohn-Nirenberg inequalities

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Critical exponents in context of PDEs (35B33) Nonlinear elliptic equations (35J60) Degenerate elliptic equations (35J70)

Related Items (8)

Stationary solutions of Euler-Poisson equations for non-isentropic gaseous stars ⋮ Several logarithmic Caffarelli-Kohn-Nirenberg inequalities and applications ⋮ Fractional Hardy-Sobolev elliptic problems ⋮ Multiple solutions for weighted nonlinear elliptic system involving critical exponents ⋮ Infinitely many solutions to elliptic systems with critical exponents and Hardy potentials ⋮ Existence of positive solutions for a class of degenerate or singular equations ⋮ The Nehari manifold for indefinite Kirchhoff problem with Caffarelli-Kohn-Nirenberg type critical growth ⋮ Least energy radial sign-changing solutions for a singular elliptic equation in lower dimensions

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• On the Best Constant for a Weighted Sobolev-Hardy Inequality
• Global and local behavior of positive solutions of nonlinear elliptic equations
• A Note on Regularity of Solutions to Degenerate Elliptic Equations of Caffarelli-Kohn-Nirenberg Type
• Existence of solutions for singular critical growth semilinear elliptic equations

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