Necessary And Sufficient Conditions For Existence Of Solutions To Equations With Noninvertible Linear Part.
We obtain an existence-uniqueness result for a second order Neumann boundary value problem including cases where the nonlinearity possibly crosses several points of resonance. Optimal and Schauder fixed points methods are used to prove this kind of results.
Si presentano condizioni sufficienti in forma astratta per l'esistenza di soluzioni di equazioni operazionali non lineari la cui parte lineare non è autoaggiunta.
We continue here the discussion in part I, and we state and prove further sufficient conditions for the existence of a solution to nonselfadjoint problems.
In this paper we study two boundary value problems for second order strongly nonlinear differential inclusions involving a maximal monotone term. The first is a vector problem with Dirichlet boundary conditions and a nonlinear differential operator of the form . In this problem the maximal monotone term is required to be defined everywhere in the state space . The second problem is a scalar problem with periodic boundary conditions and a differential operator of the form . In this case the maximal...
In this paper existence and multiplicity of solutions of the elliptic problem in on , are discussed provided the parameters and are close to the first eigenvalue . The sufficient conditions...