On a variational problem for radial solutions to extremal elliptic equations

DOI10.1007/s10231-008-0071-8zbMath1176.35056OpenAlexW2000710913MaRDI QIDQ731389

Orazio Arena, Pasquale Buonocore

Publication date: 2 October 2009

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10231-008-0071-8

zbMATH Keywords

radial solutionsvariational methodsmaximizing operatorsnon-divergence elliptic operators

Mathematics Subject Classification ID

Variational inequalities (49J40) Second-order elliptic equations (35J15) Variational methods for second-order elliptic equations (35J20)

Cites Work

• The \(L^ p\)-integrability of Green's functions and fundamental solutions for elliptic and parabolic equations
• A note on the maximum principle for second order non-variational linear elliptic equations
• Operatori ellittice estremanti
• Pucci's conjecture and the Alexandrov inequality for elliptic PDEs in the plane
• Optimal L^p-properties of Green's functions for non-divergence elliptic equations in two dimensions
• ON THE CLASSICAL SOLUTION OF NONLINEAR ELLIPTIC EQUATIONS OF SECOND ORDER
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