Geodesic
Pseudomonotonicity and nonlinear hyperbolic equations
Commentationes Mathematicae Universitatis Carolinae, Tome 38 (1997) no. 3, pp. 463-469.

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In this paper we consider a nonlinear hyperbolic boundary value problem. We show that this problem admits weak solutions by using a lifting result for pseudomonotone operators and a surjectivity result concerning coercive and monotone operators.
Classification : 35A05, 35D05, 35L20, 35L70, 47H05
Keywords: pseudomonotone operator; demicontinuous operator; maximal monotone operator; weak solution 
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Kandilakis, Dimitrios A. Pseudomonotonicity and nonlinear hyperbolic equations. Commentationes Mathematicae Universitatis Carolinae, Tome 38 (1997) no. 3, pp. 463-469. http://geodesic.mathdoc.fr/item/CMUC_1997__38_3_a3/