Positivity of global branches of fully nonlinear elliptic boundary value problems
نویسندگان
چکیده
منابع مشابه
Boundary Value Problems for some Fully Nonlinear Elliptic Equations
Let (M, g) be a compact Riemannian manifold of dimension n ≥ 3 with boundary ∂M . We denote the Ricci curvature, scalar curvature, mean curvature, and the second fundamental form by Ric, R , h, and Lαβ , respectively. The Yamabe problem for manifolds with boundary is to find a conformal metric ĝ = eg such that the scalar curvature is constant and the mean curvature is zero. The boundary is call...
متن کاملNonlinear Elliptic Boundary Value Problems
It is the object of the present note to present a new nonlinear version of the orthogonal projection method for proving the existence of solutions of nonlinear elliptic boundary value problems. The key point in this method is the application of a new general theorem concerning the solvability of nonlinear functional equations in a reflexive Banach space involving operators which may not be cont...
متن کاملFully Nonlinear Boundary Value Problems with Impulses
An impulsive boundary value problem with nonlinear boundary conditions for a second order ordinary differential equation is studied. In particular, sufficient conditions are provided so that a compression expansion cone theoretic fixed point theorem can be applied to imply the existence of positive solutions. The nonlinear forcing term is assumed to satisfy usual sublinear or superlinear growth...
متن کاملFully Nonlinear Boundary Value Problems with Impulse
An impulsive boundary value problem with nonlinear boundary conditions for a second order ordinary differential equation is studied. In particular, sufficient conditions are provided so that a compression expansion cone theoretic fixed point theorem can be applied to imply the existence of positive solutions. The nonlinear forcing term is assumed to satisfy usual sublinear or superlinear growth...
متن کاملOn the boundary value problems for fully nonlinear elliptic equations of second order
Fully nonlinear second-order, elliptic equations F (x, u,Du,D2u) = 0 are considered in a bounded domain Ω ⊂ Rn, n ≥ 2. The class of equations includes the Bellman equations supm(L mu+ fm) = 0, where the functions fm and the coefficients of the linear operators Lm are bounded in the Hölder space Cα(Ω), 0 < α < 1. We prove the interior C2,α-smoothness of solutions in Ω with some small α > 0. Unde...
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: Proceedings of the American Mathematical Society
سال: 1992
ISSN: 0002-9939
DOI: 10.1090/s0002-9939-1992-1091182-5