Geodesic
Existence and uniqueness of solutions for the $p$-Lamé Dirichlet problem by topological degree
Razika Boufenouche1
1 Laboratory of Pure and Applied Mathematics (LMPA) Department of Mathematics University of Jijel Jijel, Algeria
Applicationes Mathematicae, Tome 51 (2024) no. 2, pp. 205-220

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

We consider a mathematical model named the generalized Lamé system ($p$-Lamé), which describes the displacement $u$ from the natural state of a nonhomogeneous elastic solid subjected to a volume density of forces $f$ that depends on the displacement $u$ in a domain $\Omega $ of $\mathbb {R}^{N}$. Using the topological degree theory for a class of demicontinuous operators of generalized $(S_{+})$ type, we prove the existence and uniqueness of the weak solution.
DOI : 10.4064/am2493-5-2024
Keywords: consider mathematical model named generalized lam system p lam which describes displacement natural state nonhomogeneous elastic solid subjected volume density forces depends displacement domain omega mathbb using topological degree theory class demicontinuous operators generalized type prove existence uniqueness weak solution

Razika Boufenouche 1

1 Laboratory of Pure and Applied Mathematics (LMPA) Department of Mathematics University of Jijel Jijel, Algeria 
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Razika Boufenouche. Existence and uniqueness of solutions for the $p$-Lamé Dirichlet problem by topological degree. Applicationes Mathematicae, Tome 51 (2024) no. 2, pp. 205-220. doi: 10.4064/am2493-5-2024

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