Ambrosetti-Prodi type results for Dirichlet problems of fractional Laplacian-like operators
journal contributionposted on 09.06.2020 by Anup Biswas, Jozsef Lorinczi
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We establish Ambrosetti–Prodi type results for viscosity and classical solutions of nonlinear Dirichlet problems for 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.
INSPIRE faculty fellowship and a DST-SERB Grant EMR/2016/004810.
- Mathematical Sciences