Critical exponent and minimization problem in \(\mathbb{R}^N\)

DOI10.5802/afst.1050zbMath1052.35033OpenAlexW2035702225MaRDI QIDQ1884067

Mohamed Guedda, Samira Benmouloud-Sbai

Publication date: 25 October 2004

Published in: Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AFST_2003_6_12_3_303_0

Mathematics Subject Classification ID

Critical exponents in context of PDEs (35B33) Existence theories for free problems in two or more independent variables (49J10) Existence theories for optimal control problems involving partial differential equations (49J20) Variational methods for second-order elliptic equations (35J20)

Cites Work

• Remarks on the Schrödinger operator with singular complex potentials
• A biharmonic problem with constraint involving critical Sobolev exponent
• A Relation Between Pointwise Convergence of Functions and Convergence of Functionals
• Quasilinear elliptic equations involving critical Sobolev exponents
• Positive solutions of nonlinear elliptic equations involving critical sobolev exponents
• Variational problems related to self-similar solutions of the heat equation
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