April 2024 THREE SOLUTIONS TO A ROBIN PROBLEM WITH TWO WEIGHTED GENERALIZED VARIABLE EXPONENT SOBOLEV SPACES
Cihan Unal
Rocky Mountain J. Math. 54(2): 611-621 (April 2024). DOI: 10.1216/rmj.2024.54.611

Abstract

By applying Ricceri’s variational principle, we demonstrate the existence of solutions for a double weighted Robin problem in weighted variable exponent Sobolev spaces under some appropriate conditions.

Citation

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Cihan Unal. "THREE SOLUTIONS TO A ROBIN PROBLEM WITH TWO WEIGHTED GENERALIZED VARIABLE EXPONENT SOBOLEV SPACES." Rocky Mountain J. Math. 54 (2) 611 - 621, April 2024. https://doi.org/10.1216/rmj.2024.54.611

Information

Received: 5 November 2022; Revised: 12 January 2023; Accepted: 28 January 2023; Published: April 2024
First available in Project Euclid: 7 May 2024

Digital Object Identifier: 10.1216/rmj.2024.54.611

Subjects:
Primary: 35J35 , 46E35
Secondary: 35J60 , 35J70

Keywords: compact embedding , Ricceri’s variational principle , Robin problem

Rights: Copyright © 2024 Rocky Mountain Mathematics Consortium

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Vol.54 • No. 2 • April 2024
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