Strongly nonlinear elliptic boundary value problems
H. Brézis, F. E. Browder (1978)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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H. Brézis, F. E. Browder (1978)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Verma, Ram U. (2000)
Journal of Applied Mathematics and Stochastic Analysis
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Liang, Jin, Rodrigues, José Francisco (1996)
Portugaliae Mathematica
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Shigeru Sakaguchi (1987)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Reichel, Wolfgang, Walter, Wolfgang (1997)
Journal of Inequalities and Applications [electronic only]
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László Simon (1992)
Publicacions Matemàtiques
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We prove the existence and uniqueness of weak solutions of boundary problem value problems in an unbounded domain Ω ⊂ R for strongly nonlinear 2m order elliptic differential equations.
Ram U. Verma (1998)
Commentationes Mathematicae Universitatis Carolinae
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The solvability of a class of monotone nonlinear variational inequality problems in a reflexive Banach space setting is presented.
Jesús Ildefonso Díaz, Juan Francisco Padial (1996)
Publicacions Matemàtiques
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In this paper we present some results on the uniqueness and existence of a class of weak solutions (the so called BV solutions) of the Cauchy-Dirichlet problem associated to the doubly nonlinear diffusion equation b(u)t - div (|∇u - k(b(u))e|p-2 (∇u - k(b(u))e)) + g(x,u) = f(t,x). This problem arises in the study of some turbulent regimes: flows of incompressible turbulent fluids through porous media, gases flowing in pipelines,...