Titlebook: Topological and Variational Methods with Applications to Nonlinear Boundary Value Problems; Dumitru Motreanu,Viorica Venera Motreanu,Nikol

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Nonlinear Elliptic Equations with Neumann Boundary Conditions,ll the results presented here bring novelties with respect to the available literature. We emphasize the specific functional setting and techniques involved in handling the Neumann problems, which are distinct in comparison with those for the Dirichlet problems. The first section of the chapter disc

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Morse Theory, efficient results for the computation of critical groups that are powerful tools in the study of multiple solutions. Here an original approach is developed, and improvements of known results are shown. Notes on related literature and comments are provided in a remarks section.

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Ordinary Differential Equations, term is expressed as a generalized gradient of a locally Lipschitz function. The approach is based on nonsmooth critical point theory. Comments and relevant references are given in a remarks section.

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Nonlinear Elliptic Equations with Neumann Boundary Conditions,nd section focuses on nonlinear Neumann problems whose differential part is described by a general nonhomogeneous operator. The third section builds a common approach for both sublinear and superlinear cases of semilinear Neumann problems. Related comments and references are given in a remarks section.

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Nonlinear Operators,gh interest in the sequel. The third section contains essential results on Nemytskii operators highlighting their main continuity and differentiability properties. Comments on the material of this chapter and related literature are given in a remarks section.