Estimates for solutions to nonlinear degenerate elliptic equations

Fabrizio Cuccu; Petar Popivanov; Giovanni Porru

Estimates for solutions to nonlinear degenerate elliptic equations

Authors

Fabrizio Cuccu Dipartimento di Matematica e Informatica, UniversitÃ di Cagliari, Via Ospedale 72, 09124 Cagliari, Italy.
Petar Popivanov Institute of Mathematics and Informatics, Bulgarian Academy of Sciences, Sofia 1113, Bulgaria.
Giovanni Porru Dipartimento di Matematica e Informatica, UniversitÃ di Cagliari, Via Ospedale 72, 09124 Cagliari, Italy.

Keywords:

Degenerate elliptic equations, Isoperimetric inequality

Abstract

We find estimates of the L^âˆž norm of solutions to special nonlinear degenerate elliptic partial differential equations in terms of norms of the data. We also discuss a special isoperimetric inequality involved in the definition of the ellipticity of the above equations.

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Published

2009-09-01

How to Cite

[1]

F. Cuccu, P. Popivanov, and G. Porru, “Estimates for solutions to nonlinear degenerate elliptic equations”, CUBO, vol. 11, no. 4, pp. 59–71, Sep. 2009.