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Existence of infinitely many solutions for an anisotropic equation using genus theory
  • Abdolrahman razani,
  • Giovany Figueiredo
Abdolrahman razani
Imam Khomeini International University

Corresponding Author:razani@sci.ikiu.ac.ir

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Giovany Figueiredo
Universidade de Brasília
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Abstract

Using genus theory, the existence of infinitely many solutions for an anisotropic equation involves subcritical growth is proved. Also by using Krasnoselskii genus and Clark’s theorem, the existence of $k$-pairs of distinct solutions is proved. Finally, the anisotropic equation involves critical growth is considered and the existence of infinitely many solutions is proved.
15 Feb 2022Submitted to Mathematical Methods in the Applied Sciences
17 Feb 2022Submission Checks Completed
17 Feb 2022Assigned to Editor
22 Feb 2022Reviewer(s) Assigned
10 Mar 2022Review(s) Completed, Editorial Evaluation Pending
11 Mar 2022Editorial Decision: Revise Minor
14 Mar 20221st Revision Received
15 Mar 2022Submission Checks Completed
15 Mar 2022Assigned to Editor
15 Mar 2022Review(s) Completed, Editorial Evaluation Pending
15 Mar 2022Editorial Decision: Accept
27 Mar 2022Published in Mathematical Methods in the Applied Sciences. 10.1002/mma.8264