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The Dirichlet problem for the $p(x)$-Laplacian with unbounded exponent $p(x)$

Autor: Khamsi, M., Lang, J., Mendez, O., Nekvinda, A.

We prove the solvability of the Dirichlet problem for the variable exponent $p$-Laplacian with boundary data in $W^{1,p(x)}(\Omega)$ on a bounded, smooth domain $\Omega \subset {\mathbb R}^n$. Our main focus will be on an a.e. finite variable exponen

Externí odkaz: http://arxiv.org/abs/2402.10364

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Modular uniform convexity structures and applications to boundary value problems with non-standard growth

Autor: Khamsi, M. A., Mendez, Osvaldo

We establish the existence and uniqueness of the solution to the Dirichlet problem for the variable exponent $p$-Laplacian on a bounded, smooth domain $\Omega \subset {\mathbb R}^n$, where the boundary datum belongs to $W^{1,p}(\Omega)$. Our analysis

Externí odkaz: http://arxiv.org/abs/2310.16130

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Fixed point, Gregus-Ciric-contraction, monotone mappings, weighted graph

Autor: Alfuraidan, M. R., Khamsi, M. A.

In this paper, we introduce the concept of monotone Gregus-\'Ciri\'c-contraction mappings in weighted digraphs. Then we establish a fixed point theorem for monotone Gregus-\'Ciri\'c-contraction mappings defined in convex weighted digraphs.
Comme

Externí odkaz: http://arxiv.org/abs/1801.07764

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Coupled Fixed Points of monotone mappings in a metric space with a graph

Autor: Alfuraidan, M. R., Khamsi, M. A.

In this work, we define the concept of mixed $G$-monotone mappings defined on a metric space endowed with a graph. Then we obtain sufficient conditions for the existence of coupled fixed points for such mappings when a weak contractivity type conditi

Externí odkaz: http://arxiv.org/abs/1801.07675

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