7 M ay 2 00 9 Existence of solutions for a problem of resonance road space with weight ✩
نویسندگان
چکیده
In this work we use variational methods to show the existence of weak solutions for a nonlinear problem of the type elliptic. This problem was initially study by the authors Ahmad, Lazer and Paul (see [1]) considering the space Ω ⊂ R a bounded domains. In this work we extend your result now considering the domain R. Indeed, the main theorems in this paper constitute an extension to R of your previous results in bounded domains.
منابع مشابه
ar X iv : 0 80 5 . 18 60 v 3 [ m at h . FA ] 2 7 M ay 2 00 8 UNCONDITIONAL BASIC SEQUENCES IN SPACES OF LARGE DENSITY
We study the problem of the existence of unconditional basic sequences in Banach spaces of high density. We show, in particular, the relative consistency with GCH of the statement that every Banach space of density אω contains an unconditional basic sequence.
متن کاملSolutions of initial and boundary value problems via F-contraction mappings in metric-like space
We present sufficient conditions for the existence of solutions of second-order two-point boundary value and fractional order functional differential equation problems in a space where self distance is not necessarily zero. For this, first we introduce a Ciric type generalized F-contraction and F- Suzuki contraction in a metric-like space and give relevance to fixed point results. To illustrate...
متن کامل0 M ay 2 00 9 A functional equation whose unknown is P ( [ 0 , 1 ] ) valued
We study a functional equation whose unknown maps a euclidean space into the space of probability distributions on [0, 1]. We prove existence and uniqueness of its solution under suitable regularity and boundary conditions and we characterize solutions that are diffuse on [0, 1]. A canonical solution is obtained by means of a Randomly Reinforced Urn with different reinforcement distributions ha...
متن کاملar X iv : 0 90 5 . 09 74 v 1 [ m at h - ph ] 7 M ay 2 00 9 Symmetries and resonance sets for δ ′ - interactions July 20 , 2009
The symmetry properties of the family of δ ′-interactions with a resonant non-zero transparency resulting in non-separated states are discussed. It is shown that the connection matrix for these physically motivated interactions and the corresponding family of self-adjoint extensions can be constructed in a self-consistent way if the product δ ′ (x)ψ(x), where ψ(x) is a discontinuous wavefunctio...
متن کامل$L^p$-existence of mild solutions of fractional differential equations in Banach space
We study the existence of mild solutions for semilinear fractional differential equations with nonlocal initial conditions in $L^p([0,1],E)$, where $E$ is a separable Banach space. The main ingredients used in the proof of our results are measure of noncompactness, Darbo and Schauder fixed point theorems. Finally, an application is proved to illustrate the results of this work.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2009