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

Antonio Iannizzotto

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arXiv · 2210.02333

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

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.

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Antonio Iannizzotto. 2022-10-05. Positive solutions for the fractional p-Laplacian via mixed topological and variational methods. https://arxiv.org/abs/2210.02333

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