A pointwise gradient estimatefor solutions of singular and degenerate pde's in possibly unbounded domains with nonnegative mean curvature

Diego Castellaneta; Alberto Farina; Enrico Valdinoci

doi:10.3934/cpaa.2012.11.1983

Article Contents

2012, Volume 11, Issue 5: 1983-2003. Doi: 10.3934/cpaa.2012.11.1983

This issue Previous Article Solvability and asymptotic analysis of a generalization of the Caginalp phase field system Next Article Double resonance for Dirichlet problems with unbounded indefinite potential and combined nonlinearities

A pointwise gradient estimate for solutions of singular and degenerate pde's in possibly unbounded domains with nonnegative mean curvature

1.
Università di Roma Tor Vergata, Dipartimento di Matematica, via della ricerca scientica, 1, I-00133 Rome
2.
LAMFA – CNRS UMR 6140, Université de Picardie Jules Verne, 33, rue Saint-Leu 80039 Amiens CEDEX 1
3.
Università di Roma Tor Vergata, Dipartimento di Matematica, Via della Ricerca Scientifica, I-00133 Rome

Received: June 2011

Revised: November 2011

Published: September 2012

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Abstract

We consider a singular or degenerate elliptic problem in a proper domain and we prove a gradient bound and some symmetry results.

Keywords:

Singular and degenerate elliptic pde's,
a priori estimates.

Mathematics Subject Classification: Primary: 35J92; Secondary: 5J70, 35J75.

Citation:

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References

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