ASYMPTOTIC PROFILE OF 2-NODAL SOLUTIONS TO A SEMILINEAR ELLIPTIC PROBLEM ON A RIEMANNIAN MANIFOLD

作者：Clapp Monica^*; Micheletti Anna Maria

来源：Advances in Differential Equations, 2014, 19(3-4): 225-244.

We describe the asymptotic profile of sign changing solutions with small energy to the singularly perturbed nonlinear elliptic equation -epsilon(2)Delta(g)u + u = vertical bar u vertical bar(p-2)u on an n-dimensional compact Riemannian manifold M without boundary, p is an element of (2,2*), as epsilon -> 0.

• 出版日期2014-4