Semilinear elliptic equations with dependence on the gradient via mountain-pass techniques

Djairo De Figueiredo; Mario Girardi; Michele Matzeu

doi:die/1356060475

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2004 Semilinear elliptic equations with dependence on the gradient via mountain-pass techniques

Djairo De Figueiredo, Mario Girardi, Michele Matzeu

Differential Integral Equations 17(1-2): 119-126 (2004).

Abstract

A class of semilinear elliptic equations with dependence on the gradient is considered. The existence of a positive and a negative solution is stated through an iterative method based on mountain-pass techniques.

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Djairo De Figueiredo. Mario Girardi. Michele Matzeu. "Semilinear elliptic equations with dependence on the gradient via mountain-pass techniques." Differential Integral Equations 17 (1-2) 119 - 126, 2004.