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Competing Finsler Double Phase Equation

Year: 2024

Type: article

Abstract: In this paper, we consider a representation of the competing Finsler double phase equation, i.e., a representation of the competing Finsler double phase equation in the Heisenberg groups $\mathbb{H}^{n}$. We prove the existence of a generalized variational solution for the nonlinear Dirichlet problem driven by the Finsler–Laplacian competing operator in the Heisenberg group. This solution differs from the concept of the weak solution. To achieve this, we employ a Galerkin type procedure as part of our methodology.

Source: Taiwanese Journal of Mathematics

DOI: 10.11650/tjm/241202

Authors: Abdolrahman Razani, Esra Sengelen Sevim, Sakineh Babaei

Institutions: Imam Khomeini International University, Istanbul Bilgi University

Language: English

Topic: Nonlinear Partial Differential Equations

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4405689830

FWCI: 2.295

Cites: 32

Cited by: 3

Related to: 10