Neumann problems with indefinite and unbounded potential and concave terms

@inproceedings{Papageorgiou2015NeumannPW,
  title={Neumann problems with indefinite and unbounded potential and concave terms},
  author={Nikolaos S. Papageorgiou and Vicentiu D. Rădulescu},
  year={2015}
}
We consider a semilinear parametric Neumann problem driven by the negative Laplacian plus an indefinite and unbounded potential. The reaction is asymptotically linear and exhibits a negative concave term near the origin. Using variational methods together with truncation and perturbation techniques and critical groups, we show that for all small values of the parameter the problem has at least five nontrivial solutions, four of which have constant sign. 

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- Preface.- Smooth and Nonsmooth Calculus.- Extremal Problems and Optimal Control.- Nonlinear Operators and Fixed Points.- Critical Point Theory and Variational Methods.- Boundary Value Problems and