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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

Corresponding Author:[email protected]

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