Existence of solutions for some non-Fredholm integro-differential equations with the bi-Laplacian

We prove the existence of solutions for some semilinear elliptic equations in the appropriate H4 spaces using the fixed-point technique where the elliptic equation contains fourth-order differential operators with and without Fredholm property, generalizing the previous results. © 2020 John Wiley & Sons, Ltd.

Authors
Vougalter V.1 , Volpert V. 2, 3, 4
Journal
Mathematical Methods in the Applied Sciences
Publisher
John Wiley and Sons Ltd
Language
English
Status
Published
Link
External link
DOI
10.1002/mma.6721
Year
2020
Organizations
  • 1 Department of Mathematics, University of Toronto, Toronto, ON M5S 2E4, Canada
  • 2 Institut Camille Jordan, UMR 5208 CNRS, University of Lyon, Villeurbanne, 69622, France
  • 3 INRIA Team Dracula, INRIA Lyon La Doua, Villeurbanne, 69603, France
  • 4 Peoples' Friendship University of Russia (RUDN University), 6 Miklukho-Maklaya St, Moscow, 117198, Russian Federation
Keywords
bi-Laplacian; integro-differential equations; non-Fredholm operators; solvability conditions
Date of creation
02.11.2020
Date of change
02.11.2020
Short link
https://repository.rudn.ru/en/records/article/record/65569/
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