Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
7222146 | Nonlinear Analysis: Real World Applications | 2018 | 22 Pages |
Abstract
We provide sufficient conditions guaranteeing Lâ a priori bounds for positive solutions of some elliptic equations involving the p-Laplacian and extend the class of known nonlinearities for which the solutions are Lâ a priori bounded. As a consequence we prove the existence of positive solutions in convex bounded domains.
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Authors
Lucio Damascelli, Rosa Pardo,