Combined perturbation effects for a class of nonlinear fourth-order Navier problems |
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Authors: | Ramzi Alsaedi |
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Institution: | Faculty of Sciences, Department of Mathematics, King Abdulaziz University, Jeddah, Saudi Arabia. |
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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. |
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Keywords: | Biharmonic operator Laplace operator Palais–Smale condition mountain pass |
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