Continuous dependence on function parameters for superlinear dirichlet problems
نویسندگان
چکیده
منابع مشابه
Dependence on Parameters for the Dirichlet Problem with Superlinear Nonlinearities
The nonlinear second order differential equation d dt h(t, x′(t)) + g(t, x(t)) = 0, t ∈ [0, T ] a.e. x′(0) = x′(T ) = 0 with superlinear function g is investigated. Based on dual variational method the existence of solution is proved. Dependence on parameters and approximation method are also presented.
متن کاملNonhomogeneous Nonlinear Dirichlet Problems with a p-Superlinear Reaction
and Applied Analysis 3 2. Mathematical Background and Hypotheses Let X be a Banach space, and let X∗ be its topological dual. By 〈·, ·〉 we denote the duality brackets for the pair X∗, X . Let φ ∈ C1 X . We say that φ satisfies the Cerami condition if the following is true: “every sequence {xn}n≥1 ⊆ X, such that {φ xn }n≥1 is bounded and 1 ‖xn‖ φ′ xn −→ 0 in X∗, 2.1 admits a strongly convergent ...
متن کاملOn Neumann “superlinear” elliptic problems
In this paper we are going to show the existence of a nontrivial solution to the following model problem,
متن کاملOn the Number of Radially Symmetric Solutions to Dirichlet Problems with Jumping Nonlinearities of Superlinear Order
This paper is concerned with the multiplicity of radially symmetric solutions u(x) to the Dirichlet problem ∆u+ f(u) = h(x) + cφ(x) on the unit ball Ω ⊂ RN with boundary condition u = 0 on ∂Ω. Here φ(x) is a positive function and f(u) is a function that is superlinear (but of subcritical growth) for large positive u, while for large negative u we have that f ′(u) < μ, where μ is the smallest po...
متن کاملSuperlinear Problems
We solve elliptic semilinear boundary value problems in which the nonlinear term is superlinear. By weakening the hypotheses , we are able to include more equations than hitherto permitted. In particular, we do not require the superquadrac-ity condition imposed by most authors, and it is not assumed that the region is bounded.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Colloquium Mathematicum
سال: 2005
ISSN: 0010-1354,1730-6302
DOI: 10.4064/cm103-1-14