Constant Sign and Nodal Solutions for Nonlinear Elliptic Equations with Combined Nonlinearities

Abstract

We study a parametric nonlinear Dirichlet problem driven by a nonhomogeneous differential operator and with a reaction which is ”concave” (i.e., (p− 1)− sublinear) near zero and ”convex” (i.e., (p− 1)− superlinear) near ±∞. Using variational methods combined with truncation and comparison techniques, we show that for all small values of the parameter λ > 0… (More)

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Cite this paper

@inproceedings{Aizicovici2015ConstantSA, title={Constant Sign and Nodal Solutions for Nonlinear Elliptic Equations with Combined Nonlinearities}, author={Sergiu Aizicovici and Nikolaos S. Papageorgiou and VASILE STAICU}, year={2015} }