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Positive solutions for singularly perturbed nonlinear elliptic problem on manifolds via Morse theory
singular perturbation nondegenerate critical points Morse theory
2011/2/28
Given (M, g0) we consider the problem −"2g0+hu + u = (u+)p−1 with (", h) ∈ (0, ¯") × B. Here B is a ball centered at 0 with radius in the Banach space of all Ck symmetric covaria...
Positive solutions for Second-Order Boundary Value Problem with Integral Boundary Conditions at Resonance on a Half-Line
Boundary value problem Resonance Cone Positive solution Coincidence
2010/1/22
This paper deals with the second order boundary value problem with integral boundary conditions on a half-line: a.e. in A new result on the existence of positive solutions is obta...
Existence of positive solutions to semipositone singular Dirichlet boundary value problems
existence positive solution semipositone singular problem Dirichlet boundary conditions $\phi$-Laplacian
2007/12/13
The paper presents the conditions which guarantee that for some positive value of $\mu$ there are positive solutions of the differential equation $(\phi(x'))'+\mu Q(t,x,x')=0$ satisfying the Dirichlet...
Positive Solutions for Second-Order $m$-Point Boundary Value Problems on Time Scales
time scales positive solution Schauder fixed point theorem
2007/12/11
Let $\Bbb{T}$ be a time scale such that $0,T\in \Bbb{T}$. By means of the Schauder fixed point theorem and analysis method, we establish some existence criteria for positive solutions of the $m$-point...