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Existence of solutions for some non-Fredholm integro-differential equations with the bi-Laplacian
  • Vitali Vougalter,
  • Vitaly Volpert
Vitali Vougalter
University of Toronto
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Vitaly Volpert
University of Lyon
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Abstract

We prove the existence of solutions for some semilinear elliptic equations in the appropriate H^4 spaces using the fixed point technique where the elliptic equation contains fourth order differential operators with and without Fredholm property, generalizing the results of the preceding work [22].

Peer review status:ACCEPTED

28 Mar 2020Submitted to Mathematical Methods in the Applied Sciences
03 Apr 2020Assigned to Editor
03 Apr 2020Submission Checks Completed
02 Jul 2020Review(s) Completed, Editorial Evaluation Pending
02 Jul 2020Editorial Decision: Accept