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Positive solutions for weighted singularp-Laplace equations via Nehari manifolds

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 13 Nov 2019Embargo end date: 01 Jan 2019Publisher:Informa UK LimitedJournal:Applicable Analysis, volume 100, pages 2,436-2,448 (issn: 0003-6811, eissn: 1563-504X,

Authors: Nikolaos S. Papageorgiou; Patrick Winkert;

doi: 10.1080/00036811.2019.1688791 , 10.48550/arxiv.1906.06527

arXiv: http://arxiv.org/abs/1906.06527

Positive solutions for weighted singularp-Laplace equations via Nehari manifolds

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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.

Related Organizations

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National Technical University of Athens
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Keywords

Mathematics - Analysis of PDEs, FOS: Mathematics, Analysis of PDEs (math.AP)

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