@article{Precup_Varga_2017, title={Localization of positive critical points in Banach spaces and applications}, volume={49}, url={https://apcz.umk.pl/TMNA/article/view/TMNA.2017.011}, abstractNote={Two critical point theorems of M. Schechter in a ball of a Hilbert space are extended to uniformly convex Banach spaces by exploiting the properties of the duality mapping. Moreover, the critical points are sought in the intersection of a ball with a wedge, in particular with a cone, making possible applications to positive solutions of variational problems. The extension from Hilbert to Banach spaces not only requires a major refining of reasoning, but also a different statement by adding a third possibility to the original two alternatives from Schechter’s results. The theory is applied to positive solutions for $p$-Laplace equations.}, number={2}, journal={Topological Methods in Nonlinear Analysis}, author={Precup, Radu and Varga, Csaba}, year={2017}, month={May}, pages={817–833} }