Estimates for solutions to nonlinear degenerate elliptic equations

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Abstract

We find estimates of the L∞ 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.

Keywords

Degenerate elliptic equations , Isoperimetric inequality
  • Fabrizio Cuccu Dipartimento di Matematica e Informatica, Università 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, Università di Cagliari, Via Ospedale 72, 09124 Cagliari, Italy.
  • Pages: 59–71
  • Date Published: 2009-09-01
  • Vol. 11 No. 4 (2009): CUBO, A Mathematical Journal

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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.

Issue

Vol. 11 No. 4 (2009): CUBO, A Mathematical Journal

Section

Articles