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

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 Added by Anup Biswas
 Publication date 2018
  fields
and research's language is English
 Authors Anup Biswas




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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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