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Displaying similar documents to “Existence and nonexistence of positive solutions for singular p -Laplacian equation in N .”

On a parabolic problem with nonlinear Newton boundary conditions

Miloslav Feistauer, Karel Najzar, Karel Švadlenka (2002)

Commentationes Mathematicae Universitatis Carolinae

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The paper is concerned with the study of a parabolic initial-boundary value problem with nonlinear Newton boundary condition considered in a two-dimensional domain. The goal is to prove the existence and uniqueness of a weak solution to the problem in the case when the nonlinearity in the Newton boundary condition does not satisfy any monotonicity condition and to analyze the finite element approximation.