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arXiv · 1803.08540

Ambrosetti-Prodi type results for Dirichlet problems of fractional Laplacian-like operators

Anup Biswas·József Lőrinczi
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Abstract

We establish Ambrosetti--Prodi type results for viscosity and classical solutions of nonlinear Dirichlet problems for the fractional Laplace and comparable operators. In the choice of nonlinearities we consider semi-linear and super-linear growth cases separately. We develop a new technique using a functional integration-based approach, which is more robust in the non-local context than a purely analytic treatment.

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Anup Biswas, József Lőrinczi. 2018-03-22. Ambrosetti-Prodi type results for Dirichlet problems of fractional Laplacian-like operators. https://arxiv.org/abs/1803.08540

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