Displaying similar documents to “Energy quantization and mean value inequalities for nonlinear boundary value problems”

On nonlinear hemivariational inequalities

Nikolaos S. Papageorgiou, George Smyrlis

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We conduct a detailed study of the existence theory for nonlinear hemivariational inequalities of second order. The problems under consideration are strongly nonlinear and not necessarily of variational nature. So we employ a variety of tools in order to solve them. More precisely, we use the general theory of nonlinear operators of monotone type, the method of upper-lower solutions, the multivalued Leray-Schauder principle, nonsmooth critical point theory coupled with Landesman-Lazer...

Injective weak solutions in second-gradient nonlinear elasticity

Timothy J. Healey, Stefan Krömer (2008)

ESAIM: Control, Optimisation and Calculus of Variations

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We consider a class of second-gradient elasticity models for which the internal potential energy is taken as the sum of a convex function of the second gradient of the deformation and a general function of the gradient. However, in consonance with classical nonlinear elasticity, the latter is assumed to grow unboundedly as the determinant of the gradient approaches zero. While the existence of a minimizer is routine, the existence of weak solutions is not, and we focus our efforts on...