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arXiv · 1906.06527

Positive solutions for weighted singular $p$-Laplace equations via Nehari manifolds

Nikolaos S. Papageorgiou·Patrick Winkert
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Abstract

In this paper we study weighted singular $p$-Laplace equations involving a bounded weight function which can be discontinuous. Due to its discontinuity classical regularity results cannot be applied. Based on Nehari manifolds we prove the existence of at least two positive bounded solutions of such problems.

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Nikolaos S. Papageorgiou, Patrick Winkert. 2019-06-15. Positive solutions for weighted singular $p$-Laplace equations via Nehari manifolds. https://arxiv.org/abs/1906.06527

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