Debajyoti Choudhuri (Author), Dušan Repovš (Author), Kamel Saoudi (Author)

Abstract

In this paper we prove the existence of solutions to a double phase problem with a prescribed nonlinear boundary condition which is nonlinear in nature. The driving nonlinear perturbations obey a suitable condition at the origin and on the boundary. To the best of our knowledge, a double phase measure data problem with nonlinear boundary condition is new and has not been studied yet. The novelty of our work lies in using the well known weak convergence method to guarantee the existence of solutions. We also provide an illustrative example.

Keywords

variable exponent Sobolev space;double phase operator;nonlinear boundary condition;Steklov eigenvalue problem;Robin eigenvalue problem;existence;

Data

Language: English
Year of publishing:
Typology: 1.01 - Original Scientific Article
Organization: UL PEF - Faculty of Education
UDC: 517.9
COBISS: 152552963 Link will open in a new window
ISSN: 0126-6705
Views: 15
Downloads: 0
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Other data

Type (COBISS): Article
Embargo end date (OpenAIRE): 2024-07-01
Pages: art. 121 (17 str.)
Volume: ǂVol. ǂ46
Issue: ǂiss. ǂ4
Chronology: July 2023
DOI: 10.1007/s40840-023-01513-2
ID: 18990114