Application of a Variant of Mountain Pass Theorem in Modeling Real Phenomena

Mountain Pass Theorem (MPT) is an important result in variational methods with multiple applications partial differential equations involved mathematical physics. Starting from a variant of MPT, new concerning the existence solution for certain physics problems involving p-Laplacian and p-pseudo-Laplacian has been obtained. Based on main theorem, existence, possibly uniqueness, characterization solutions models such as nonlinear elastic membrane, glacier sliding, pseudo torsion problem have The novelty work consists formulation central under weaker conditions requested by chosen proof this statement, its application solving above mentioned problems. While expressions Dirichlet and/or von Neumann were already completed, proposed method suggests some specific numerical to construct appropriate solution. A general goal paper extension applicative pallet way encountered modeling real processes developed within emerging technologies.