Non-negative Solutions for a Class of Radially Symmetric Non-positone Problems
نویسندگان
چکیده
We consider the existence of radially symmetric non-negative solutions for the boundary value problem -Au(x) = lf{u(x)) IMI < 1, x e RN{N > 2) u(x) = 0 ||*|| = 1 where X > 0, f(0) < 0 (non-positone), /' > 0 and / is superlinear. We establish existence of non-negative solutions for A small which extends some work of our previous paper on non-positone problems, where we considered the case N = \ . Our work also proves a recent conjecture by Joel Smoller and Arthur Wasserman.
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