Uniqueness and Nonexistence of Positive Solutions to Semipositone Problems
نویسندگان
چکیده
We consider the uniqueness of the positive solution to a semilinear elliptic equation with Dirichlet boundary condition and the nonlinearity satisfying f(0) < 0 and having asymptotic sublinear growth rate. A similar idea is also applied to the nonexistence of a positive solution to a superlinear problem.
منابع مشابه
Existence and Nonexistence Results for Quasilinear Semipositone Dirichlet Problems
We use the sub/supersolution method to analyze a semipositone Dirichlet problem for the p-Laplacian. To find a positive solution, we therefore focus on a related problem that produces positive subsolutions. We establish a new nonexistence result for this subsolution problem on general domains, discuss the existence of positive radial subsolutions on balls, and then apply our results to problems...
متن کاملPositive Solutions for Classes of Positone/semipositone Systems with Multiparameters
We study the existence and nonexistence of solution for a system involving p,q-Laplacian and nonlinearity with multiple parameteres. We use the method of lower and upper solutions for prove the existence of solutions.
متن کاملUniqueness and Stability of Nonnegative Solutions for Semipositone Problems in a Ball
We study the uniqueness and stability of nonnegative solutions for classes of nonlinear elliptic Dirichlet problems on a ball, when the nonlinearity is monotone, negative at the origin, and either concave or convex.
متن کاملPositive Solutions for Semipositone Discrete Eigenvalue Problems via Three Critical Points Theorem
In this paper, multiple positive solutions for semipositone discrete eigenvalue problems are obtained by using a three critical points theorem for nondifferentiable functional. Keywords—Discrete eigenvalue problems, positive solutions, semipositone, three critical points theorem
متن کاملPositive Solutions for a Class of Semipositone Discrete Boundary Value Problems with Two Parameters
In this paper, the existence, multiplicity and noexistence of positive solutions for a class of semipositone discrete boundary value problems with two parameters is studied by applying nonsmooth critical point theory and sub-super solutions method. Keywords—Discrete boundary value problems, nonsmooth critical point theory, positive solutions, semipositone, sub-super solutions method
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 2006