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Mathematics > Analysis of PDEs

arXiv:2210.02333 (math)
[Submitted on 5 Oct 2022 (v1), last revised 27 Feb 2023 (this version, v2)]

Title:Positive solutions for the fractional p-Laplacian via mixed topological and variational methods

Authors:Antonio Iannizzotto
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Abstract:We study a nonlinear, nonlocal Dirichlet problem driven by the degenerate fractional p-Laplacian via a combination of topological methods (degree theory for operators of monotone type) and variational methods (critical point theory). We assume local conditions ensuring the existence of sub- and supersolutions. So we prove existence of two positive solutions, in both the coercive and noncoercive cases.
Comments: 17 pages
Subjects: Analysis of PDEs (math.AP)
MSC classes: 35R11, 47H11, 35A15
Cite as: arXiv:2210.02333 [math.AP]
  (or arXiv:2210.02333v2 [math.AP] for this version)
  https://doi.org/10.48550/arXiv.2210.02333

Submission history

From: Antonio Iannizzotto [view email]
[v1] Wed, 5 Oct 2022 15:38:35 UTC (17 KB)
[v2] Mon, 27 Feb 2023 20:53:17 UTC (17 KB)
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