Existence and non-existence results for a class of semilinear nonlocal operators with exterior condition

Anup Biswas

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arXiv · 1805.01293

Existence and non-existence results for a class of semilinear nonlocal operators with exterior condition

Anup Biswas

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Abstract

We consider a class of semilinear nonlocal problems with vanishing exterior condition and establish a Ambrosetti-Prodi type phenomenon when the nonlinear term satisfies certain conditions. Our technique makes use of the probabilistic tools and heat kernel estimates.

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Anup Biswas. 2018-05-02. Existence and non-existence results for a class of semilinear nonlocal operators with exterior condition. https://arxiv.org/abs/1805.01293

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