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Existence of Multiple Solutions to Elliptic Equations

A. Ayoujil, A. R. El Amrouss


The p-Laplace operator aries in various applications, e.g. calculus of variations, nonlinear elasticity, petroleum extraction. Applying the infinite dimensional Morse theory and under growth conditions on the reaction terms, existence of multiple solutions for a perturbation of the p-Laplacian equations are proved.

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