2012/01/05 by R. Bartolo, Rossella Bartolo, Anna María Candela +6
Computer Science · Mathematics · #35J20 #58E05 #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #Differential Equations and Numerical Methods #FOS: Mathematics #Nonlinear Partial Differential Equations #math.AP #msc:35J20 #msc:58E05
paper · pdf · doi:10.48550/arxiv.1201.1109
13 pages
arxiv created 2012/01/05 · openalex publication_date 2012/01/05 · arxiv updated 2012/01/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The aim of this paper is investigating the existence of solutions of some semilinear elliptic problems on open bounded domains when the nonlinearity is subcritical and asymptotically linear at infinity and there is a perturbation term which is just continuous. Also in the case when the problem has not a variational structure, suitable procedures and estimates allow us to prove that the number of distinct crtitical levels of the functional associated to the unperturbed problem is "stable" under small perturbations, obtaining multiplicity results if the nonlinearity is odd, both in the non--resonant and in the resonant case.