Minimax solutions for a problem with sign changing nonlinearity and lack of strict convexity

2013/10/25 by Magrone, Paola
#35J65 #58E05 #Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.1310.6862

Abstract

A result of existence of a nonnegative and a nontrivial solution is proved via critical point theorems for non smooth functionals. The equation considered presents a convex part and a nonlinearity which changes sign.

Related

• Radial symmetry of minimax critical points for nonsmooth functionals
• Critical equations with a sharp change of sign in the nonlinearity
• Nonhomogeneous systems involving critical or subcritical nonlinearities
• Existence of solutions for a class of p(x)-laplacian equations involving a concave-convex nonlinearity with critical growth in ℝ^N
• Minimax Theorems for Possibly Nonconvex Functions