On singular nonhomogeneous elliptic equations involving critical Caffarelli-Kohn-Nirenberg exponent

DOI10.1007/s11587-009-0056-yzbMath1180.35227OpenAlexW2007553695MaRDI QIDQ2655541

Mohammed Bouchekif, Atika Matallah

Publication date: 25 January 2010

Published in: Ricerche di Matematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11587-009-0056-y

zbMATH Keywords

Palais-Smale conditionvariational methodssingular weightscritical Caffarelli-Kohn-Nirenberg exponent

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) Critical exponents in context of PDEs (35B33) Nonlinear elliptic equations (35J60) Variational methods for second-order elliptic equations (35J20)

Related Items (6)

Unnamed Item ⋮ On radially symmetric solutions of the equation \(-\Delta u+u=| u|^{p-1}u\). An ODE approach ⋮ On nonhomogeneous singular elliptic equations with cylindrical weights ⋮ On a precise scaling to Caffarelli-Kohn-Nirenberg inequality ⋮ Multiple positive solutions for Robin problem involving critical weighted Hardy-Sobolev exponents with boundary singularities ⋮ On singular elliptic equation with singular nonlinearities, Hardy-Sobolev critical exponent and weights

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• Singular elliptic problems with lack of compactness
• Solutions for a nonhomogeneous elliptic problem involving critical Sobolev-Hardy exponent in \(\mathbb R^N\)
• A Relation Between Pointwise Convergence of Functions and Convergence of Functionals

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