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http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/4850| Title: | Ambrosetti–Prodi Type Results for Dirichlet Problems of Fractional Laplacian-Like Operators |
| Authors: | BISWAS, ANUP Lorinczi, Jozsef Dept. of Mathematics |
| Keywords: | Semi-linear nonlocal exterior value problem Ambrosetti–Prodi problem Viscosity solutions Bifurcations Fractional Schrödinger operator Principal eigenvalues Maximum principles TOC-JUN-2020 2020 2020-JUL-WEEK1 |
| Issue Date: | Jun-2020 |
| Publisher: | Springer Nature |
| Citation: | Integral Equations and Operator Theory, 92(3). |
| Abstract: | 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. |
| URI: | http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/4850 https://doi.org/10.1007/s00020-020-02584-7 |
| ISSN: | - |
| Appears in Collections: | JOURNAL ARTICLES |
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