Add to ORKGGiven (M,g) a smooth compact Riemannian N-manifold, we prove that for any fixed positive integer K the problem -\eps^2\Delta_gu + u = u^{p-1} in M, u > 0 in M has a K-peaks solution, whose peaks collapse, as \eps goes to zero, to an isolated local minimum point of the scalar curvature. Here \Delta_g is the laplace beltrami operator, \eps is a small real parameter and p > 2 if N = 2 and 2 2
Given a smooth Riemannian manifold (M, g) we investigate the existence of positive solutions to a su...
In this paper we continue our investigation in [5, 7, 8] on multipeak solutions to the problem fie#D...
We consider the following singularly perturbed nonlinear elliptic problem epsilon(2)Delta u - u + f(...
Given (M, g) a smooth compact Riemannian N-manifold, we prove that for any fixed positive integer K ...
Given (M,g) a smooth compact Riemannian N-manifold, we we show that positive solutions to the prob...
Let (M, g) be a smooth compact n-dimensional Riemannian manifold (n >1) with smooth (n − 1)- dimensi...
Let M be a connected compact smooth Riemannian manifold of dimension n >= 3 with or without smooth b...
Given (M,g) a smooth, compact Riemannian n-manifold, we consider equations like \Delta_g u+hu = u^...
In this paper, we construct multipeak solutions for a singularly perturbed Dirichlet problem. Under...
This paper concerns a wide class of singular perturbation problems arising from such diverse fields ...
Let $(M,g)$ be a smooth connected compact Riemannian manifold of finite dimension $n\geq 2$\ with a ...
The existence of one non-trivial solution for a nonlinear problem on compact d-dimensional () Rieman...
This paper deals with existence and multiplicity of positive solutions for the equation -Delta u + e...
Let (M, g) be a closed Riemannian manifold of dimension n≥ 3 and x∈ M be an isolated local minimum o...
Given (M,g) the set {(\eps, h) in (0, 1) X S^k : any solution u in A of -\eps^2\Delta_g u + u = ...
Given a smooth Riemannian manifold (M, g) we investigate the existence of positive solutions to a su...
In this paper we continue our investigation in [5, 7, 8] on multipeak solutions to the problem fie#D...
We consider the following singularly perturbed nonlinear elliptic problem epsilon(2)Delta u - u + f(...
Given (M, g) a smooth compact Riemannian N-manifold, we prove that for any fixed positive integer K ...
Given (M,g) a smooth compact Riemannian N-manifold, we we show that positive solutions to the prob...
Let (M, g) be a smooth compact n-dimensional Riemannian manifold (n >1) with smooth (n − 1)- dimensi...
Let M be a connected compact smooth Riemannian manifold of dimension n >= 3 with or without smooth b...
Given (M,g) a smooth, compact Riemannian n-manifold, we consider equations like \Delta_g u+hu = u^...
In this paper, we construct multipeak solutions for a singularly perturbed Dirichlet problem. Under...
This paper concerns a wide class of singular perturbation problems arising from such diverse fields ...
Let $(M,g)$ be a smooth connected compact Riemannian manifold of finite dimension $n\geq 2$\ with a ...
The existence of one non-trivial solution for a nonlinear problem on compact d-dimensional () Rieman...
This paper deals with existence and multiplicity of positive solutions for the equation -Delta u + e...
Let (M, g) be a closed Riemannian manifold of dimension n≥ 3 and x∈ M be an isolated local minimum o...
Given (M,g) the set {(\eps, h) in (0, 1) X S^k : any solution u in A of -\eps^2\Delta_g u + u = ...
Given a smooth Riemannian manifold (M, g) we investigate the existence of positive solutions to a su...
In this paper we continue our investigation in [5, 7, 8] on multipeak solutions to the problem fie#D...
We consider the following singularly perturbed nonlinear elliptic problem epsilon(2)Delta u - u + f(...