A nonlinear degenerate elliptic problem with W^{1,1}_0 solutions

Details A nonlinear degenerate elliptic problem with W^{1,1}_0 solutions A nonlinear degenerate elliptic problem with W^{1,1}_0 solutions

2011-07-06

arxiv.org/abs/1107.1132v1

Mathematics

Analysis of PDEs

manuscripta mathematica (2011)?

Scientific paper

We study a nonlinear equation with an elliptic operator having degenerate
coercivity. We prove the existence of a unique W^{1,1}_0 distributional
solution under suitable summability assumptions on the source in Lebesgue
spaces. Moreover, we prove that our problem has no solution if the source is a
Radon measure concentrated on a set of zero harmonic capacity.

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