A Caffarelli–Kohn–Nirenberg inequality in Orlicz–Sobolev spaces and applications

DOI10.1080/00036811.2011.571675zbMath1251.35028OpenAlexW2081357308WikidataQ58125442 ScholiaQ58125442MaRDI QIDQ3167660

Ilescu Mihăilescu, Marian F. Bocea

Publication date: 2 November 2012

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036811.2011.571675

zbMATH Keywords

critical pointOrlicz spacesdegenerate elliptic equationsCaffarelli-Kohn-Nirenberg inequality

Mathematics Subject Classification ID

Degenerate elliptic equations (35J70) Methods involving semicontinuity and convergence; relaxation (49J45) Weak solutions to PDEs (35D30) Singular elliptic equations (35J75)

Related Items (2)

Minimization problems for inhomogeneous Rayleigh quotients ⋮ On the spectrum of a Baouendi-Grushin type operator: an Orlicz-Sobolev space setting approach

Cites Work

• Unnamed Item
• Existence of radial solutions for the \(p\)-Laplacian elliptic equations with weights
• Neumann problems associated to nonhomogeneous differential operators in Orlicz-Sobolev spaces
• On principal eigenvalues for quasilinear elliptic differential operators: an Orlicz-Sobolev space setting
• On the existence of extremal functions for a weighted Sobolev embedding with critical exponent
• On a variational degenerate elliptic problem
• Singular minimization problems
• Qualitative properties of ground states for singular elliptic equations with weights
• Existence of solutions to a semilinear elliptic system trough Orlicz-Sobolev spaces
• Positive Solutions of Quasilinear Elliptic Equations with Critical Orlicz-Sobolev Nonlinearity on RN
• EIGENVALUE PROBLEMS ASSOCIATED WITH NONHOMOGENEOUS DIFFERENTIAL OPERATORS, IN ORLICZ–SOBOLEV SPACES

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