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Three nontrivial solutions for a nonlinear anisotropic nonlocal equation
Authors:Amin ESFAHANI
Affiliation:School of Mathematics and Computer Science, Damghan University, 36715-364 Damghan, Iran
Abstract:In this article, we establish the existence of a sign-changing solution and two sign-constant solutions for nonlinear nonlocal problem involving the BO-ZK operator on bounded domain. Our main tool is constrained minimization on appropriate Nehari manifolds.
Keywords:sign-constant and nodal solutions  BO-ZK operator  variational method  35R09  35R11  35A15  35D30  35Q53
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