Existence and boundedness of a minimiser for a constrained minimisation problem on Rn with limiting exponent

DOI10.1017/S0308210500021089zbMath0778.49002MaRDI QIDQ4037697

Shusen Yan, Yao-Tian Shen

Publication date: 16 May 1993

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

zbMATH Keywords

reverse Hölder inequalityconcentration compactness principleexistence of a minimizer

Mathematics Subject Classification ID

Existence theories for problems in abstract spaces (49J27) Existence theories for free problems in one independent variable (49J05)

Cites Work

• Unnamed Item
• Quasilinear elliptic eigenvalue problems
• The concentration-compactness principle in the calculus of variations. The locally compact case. I
• The concentration-compactness principle in the calculus of variations. The limit case. I
• On the regularity of the minima of variational integrals
• Best constant in Sobolev inequality
• Problèmes isoperimetriques et espaces de Sobolev
• A minimization problem involving a critical Sobolev exponent and its related Euler-Lagrange equation
• Positive solutions of nonlinear elliptic equations involving critical sobolev exponents
• Multiple Integrals in the Calculus of Variations and Nonlinear Elliptic Systems. (AM-105)
• Nonconvex minimization problems

This page was built for publication: Existence and boundedness of a minimiser for a constrained minimisation problem on Rⁿ with limiting exponent