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Combined perturbation effects for a class of nonlinear fourth-order Navier problems
Authors:Ramzi Alsaedi
Institution:Faculty of Sciences, Department of Mathematics, King Abdulaziz University, Jeddah, Saudi Arabia.
Abstract:We study a class of nonlinear elliptic problems with Navier boundary condition and involving the Laplace and the biharmonic operators. The main result of this paper establishes a sufficient condition for the existence of nontrivial weak solutions, in relationship with the values of a certain real parameter with respect to the principal eigenvalue of the Laplace operator.
Keywords:Biharmonic operator  Laplace operator  Palais–Smale condition  mountain pass
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