On nonhomogeneous singular elliptic equations with cylindrical weights

DOI10.1007/s11587-011-0121-1zbMath1303.35037OpenAlexW2155997883MaRDI QIDQ473264

Mohammed El Mokhtar Ould El Mokhtar, Mohammed Bouchekif

Publication date: 24 November 2014

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

Full work available at URL: https://doi.org/10.1007/s11587-011-0121-1

zbMATH Keywords

Palais-Smale conditionEkeland's variational principlecylindrical weightweighted Hardy-Sobolev inequalities

Mathematics Subject Classification ID

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

Related Items (1)

Periodic parabolic equation involving singular nonlinearity with variable exponent

Cites Work

• A Sobolev-Hardy inequality with applications to a nonlinear elliptic equation arising in astrophysics
• Ground state solutions of a critical problem involving cylindrical weights
• Elliptic equations with decaying cylindrical potentials and power-type nonlinearities
• Remarks on a Hardy-Sobolev inequality.
• Multiple solutions for inhomogeneous elliptic problems involving critical Sobolev-Hardy exponents
• On the variational principle
• Cylindrical symmetry of extremals of a Hardy-Sobolev inequality
• On singular nonhomogeneous elliptic equations involving critical Caffarelli-Kohn-Nirenberg exponent
• A Relation Between Pointwise Convergence of Functions and Convergence of Functionals
• HARDY–SOBOLEV–MAZ'YA INEQUALITIES: SYMMETRY AND BREAKING SYMMETRY OF EXTREMAL FUNCTIONS

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