Displaying similar documents to “Global existence of solutions of parabolic problems with nonlinear boundary conditions”

L -estimates for solutions of nonlinear parabolic systems with gradient linear growth

Wojciech Zajączkowski (1996)

Banach Center Publications

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Existence of weak solutions and an L -estimate are shown for nonlinear nondegenerate parabolic systems with linear growth conditions with respect to the gradient. The L -estimate is proved for equations with coefficients continuous with respect to x and t in the general main part, and for diagonal systems with coefficients satisfying the Carathéodory condition.

Nonsymmetric solutions of a nonlinear boundary value problem

Sámuel Peres (2014)

Czechoslovak Mathematical Journal

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We study the existence and multiplicity of positive nonsymmetric and sign-changing nonantisymmetric solutions of a nonlinear second order ordinary differential equation with symmetric nonlinear boundary conditions, where both of the nonlinearities are of power type. The given problem has already been studied by other authors, but the number of its positive nonsymmetric and sign-changing nonantisymmetric solutions has been determined only under some technical conditions. It was a long-standing...