Existence and non-existence results for a class of semilinear nonlocal operators with exterior condition
classification
🧮 math.AP
math.PR
keywords
classconditionexteriornonlocalsemilinearambrosetti-prodicertainconditions
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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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