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Št. zadetkov: 2
On nonlinear biharmonic problems on the Heisenberg group
Jiabin Zuo, Said Taarabti, Tianqing An, Dušan Repovš
Izvirni znanstveni članek
Oznake: Heisenberg group $\mathbb{H}^n$;bi-Kohn Laplacian;Mountain Pass Theorem;variational theory;
We investigate the boundary value problem for biharmonic operators on the Heisenberg group. The inherent features of ▫$\mathbb{H}^n$▫ make it an appropriate environment for studying symmetry rules and the interaction of analysis and geometry with manifolds. The goal of this paper is to prove that a ...
Leto: 2022 Vir: Fakulteta za matematiko in fiziko (UL FMF)
On a fourth-order Neumann problem in variable exponent spaces
Jiabin Zuo, Zakaria El Allali, Said Taarabti, Dušan Repovš
Izvirni znanstveni članek
Oznake: Neumann problem;Leray-Lions operator;Variational methods;Ricceri’s three critical points;Fountain theorem;
We study the Neumann problem with Leray-Lions type operator. Using the classical variational theory, we prove the existence, uniqueness and multiplicity of solutions. As far as we know, this is the first attempt to investigate such a fourth-order problem involving Leray-Lions type operators.
Leto: 2023 Vir: Fakulteta za matematiko in fiziko (UL FMF)
Št. zadetkov: 2
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