Research Info

Home /EXISTENCE OF A POSITIVE ...
Title EXISTENCE OF A POSITIVE SOLUTION FOR SUPERLINEAR LAPLACIAN EQUATION VIA MOUNTAIN PASS THEOREM
Type JournalPaper
Keywords Laplacian equation; Postive solution; Cerami condition; Mountain pass theorem.
Abstract In this paper, we are going to show a nonlinear laplacian equation with the Dirichlet boundary value problems. At fi rst, we show the equation has a nontrivial solution. next, using strong maximal principle, Cerami condition and a variation of the mountain pass theorem help us to prove critical point of functional I is a positive solution (414).
Researchers Ghasem Alizadeh Afrouzi (Third Researcher), hashem rasouli (Second Researcher), Alireza Keyhan Far (First Researcher)