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Öğe Competing Finsler Double Phase Equation(Mathematical Soc Rep China, 2025) Razani, Abdolrahman; Sevim, Esra Sengelen; Babaei, SakinehIn 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 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.Öğe Eigenvalues associated with the Khon-Spencer p(•)-biharmonic operator on the Heisenberg group(Taylor & Francis Ltd, 2025) Razani, Abdolrahman; Sevim, Esra Sengelenn this study, we consider a nonlinear eigenvalue problem including a Khon-Spencer p(xi )-biharmonic operator under Dirichlet boundary conditions in the Heisenberg group framework. By conducting rigorous analysis, we prove the existence of a positive constant lambda > 0 such that any lambda is an element of (0, lambda), is an eigenvalue for the problem. Our stud-ies relies on variational techniques in the Heisenberg Sobolev space HWk,p(xi )(Omega), where Omega subset of H-n is a Poincare-Sobolev domain.Öğe Some existence results for a class of Dirichlet problems with variable exponents(Springer, 2024) Razani, Abdolrahman; Musbah, Zahirulhaq; Safari, Farzaneh; Sevim, Esra SengelenIn this paper, we study the existence and multiplicity of weak solutions of the p(x)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$p(x)$\end{document}-Laplacian problems that are subject to Dirichlet boundary conditions, employing variational techniques as our primary analytical framework.Öğe Traveling Wave Solution for a Hyperbolic Differential Equation(Pleiades Publishing Ltd, 2024) Razani, Abdolrahman; Sevim, Esra SengelenThe existence of weak and strong detonation waves for a version of the Majda's model is proved. In fact, the existence of traveling wave solutions for an exothermic combustion involving more than one reaction is studied.











