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Combined perturbation effects for a class of nonlinear fourth-order Navier problems

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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… Click to show full abstract

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: combined perturbation; perturbation effects; class; class nonlinear; effects class; nonlinear fourth

Journal Title: Complex Variables and Elliptic Equations
Year Published: 2018

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