Critical nonlinear elliptic equations with singularities and cylindrical symmetry.

DOI10.4171/RMI/379zbMath1330.35137OpenAlexW2084994636MaRDI QIDQ1880516

Enrico Serra, Marino Badiale

Publication date: 28 September 2004

Published in: Revista Matemática Iberoamericana (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/39711

zbMATH Keywords

singularitiescritical exponentscylindrical symmetryloss of compactness

Mathematics Subject Classification ID

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

Related Items (7)

Hardy-Sobolev extremals, hyperbolic symmetry and scalar curvature equations ⋮ A global compactness result with applications to a nonlinear elliptic equation arising in astrophysics ⋮ Admissible function spaces for weighted Sobolev inequalities ⋮ Classification of solutions of a critical Hardy--Sobolev operator ⋮ Cylindrical symmetry of extremals of a Hardy-Sobolev inequality ⋮ $L^{p}$ estimates and asymptotic behavior for finite energy solutions of extremals to Hardy-Sobolev inequalities ⋮ A global compactness result with applications to a Hardy-Sobolev critical elliptic system involving coupled perturbation terms

Cites Work

• Unnamed Item
• Unnamed Item
• A Sobolev-Hardy inequality with applications to a nonlinear elliptic equation arising in astrophysics
• Remarks on the Schrödinger operator with singular complex potentials
• On the existence of extremal functions for a weighted Sobolev embedding with critical exponent
• On a class of two-dimensional singular elliptic problems
• A Relation Between Pointwise Convergence of Functions and Convergence of Functionals
• Existence and nonexistence results for a class of nonlinear, singular Sturm-Liouville equations

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