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arXiv · 1207.6671

Maximum principle and one-sign solutions for the elliptic $p$-Laplacian

Guowei Dai
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Abstract

In this paper, we prove a maximum principle for the $p$-Laplacian with a sign-changing weight. As an application of this maximum principle, we study the existence of one-sign solutions for a class of quasilinear elliptic problems.

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Guowei Dai. 2012-07-28. Maximum principle and one-sign solutions for the elliptic $p$-Laplacian. https://arxiv.org/abs/1207.6671

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