Unilateral boundary value problems with jump discontinuities

Nikolaos Halidias
2003 International Journal of Mathematics and Mathematical Sciences  
Using the critical point theory of Szulkin (1986), we study elliptic problems with unilateral boundary conditions and discontinuous nonlinearities. We do not use the method of upper and lower solutions. We prove two existence theorems: one when the right-hand side is nondecreasing and the other when it is nonincreasing.
doi:10.1155/s0161171203013279 fatcat:zqqylge24vgofhtqbgddj2zyni