Generalized Lyapunov inequalities involving critical Sobolev exponents

DOI10.1134/S0037446612040118zbMath1260.35039OpenAlexW2046000978MaRDI QIDQ1760543

Xianqiang Yang

Publication date: 14 November 2012

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0037446612040118

zbMATH Keywords

critical exponentelliptic equationsLyapunov inequality

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25)

Cites Work

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• Lyapunov inequality for elliptic equations involving limiting nonlinearities
• Asymptotic approach to singular solutions for nonlinear elliptic equations involving critical Sobolev exponent
• The concentration-compactness principle in the calculus of variations. The limit case. I
• Proof of two conjectures of H. Brezis and L. A. Peletier
• Lyapunov inequalities for partial differential equations
• Remarks on the extremal functions for the Moser-Trudinger inequality
• Liapunov-type inequalities and Neumann boundary value problems at resonance

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