A minimization problem involving a critical Sobolev exponent and its related Euler-Lagrange equation

DOI10.1007/BF00376140zbMath0737.49005OpenAlexW2067103307MaRDI QIDQ1814194

Shusen Yan, Gongbao Li

Publication date: 25 June 1992

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00376140

zbMATH Keywords

minimization problemcritical Sobolev exponentreverse Hölder inequalityEuler-Lagrange equationhole-filling method

Mathematics Subject Classification ID

Existence theories for optimal control problems involving partial differential equations (49J20)

Related Items (3)

Eigenvalue problems for quasilinear elliptic systems with limiting nonlinearity ⋮ Existence and boundedness of a minimiser for a constrained minimisation problem on Rⁿ with limiting exponent ⋮ Existence and multiplicity results for quasilinear elliptic differential systems

Cites Work

• Quasilinear elliptic eigenvalue problems
• The concentration-compactness principle in the calculus of variations. The limit case. I
• On the regularity of the minima of variational integrals
• Positive solutions of nonlinear elliptic equations involving critical sobolev exponents
• Multiple Integrals in the Calculus of Variations and Nonlinear Elliptic Systems. (AM-105)
• Unnamed Item

This page was built for publication: A minimization problem involving a critical Sobolev exponent and its related Euler-Lagrange equation