Nontrivial solutions for the Laplace equation with a nonlinear Goldstein-Wentzell boundary condition

<p>The paper deals with the existence and multiplicity of nontrivial solutions for the doubly elliptic problem</p> <p class="disp_formula">$ \begin{cases} \Delta u = 0 \qquad &amp;\text{in}~~ \Omega , \\ u = 0 &amp;\text{on}~~ \Gamma_0 , \\ -\Delta_\Gamma u...

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Bibliographic Details

Published in:	Communications in Analysis and Mechanics
Main Author:	Enzo Vitillaro
Format:	Article
Language:	English
Published:	AIMS Press 2023-11-01
Subjects:	laplace equation laplace-beltrami operator existence and multiplicity for nontrivial solutions wentzell boundary conditions ventcel boundary conditions mountain pass theorem
Online Access:	https://www.aimspress.com/article/doi/10.3934/cam.2023039?viewType=HTML