Add to ORKGGiven (M,g) the set {(\eps, h) in (0, 1) X S^k : any solution u in A of -\eps^2\Delta_g u + u = u^{p-1}, u > 0 in M is non degenerate} is a residual subset of (0,1) X B_r where \Delta_g is the laplace beltrami operator, \eps is a small real parameter and p > 2 if N = 2 and 2 2, B_r is a suitable ball centered at 0 with radius r in the Banach space S^k, S^k is the space of all C^k symmetric covariant 2-tensors on M and A is a bounded subset of H^1_g (M) which does not contain the constant function 1
We study existence and uniqueness of solutions to a nonlinear elliptic boundary value problem with a...
summary:The aim of this paper is to study the existence of variational solutions to a nonhomogeneous...
We study $X$-elliptic harmonic maps of an open set $\mathcal{U} \subset \mathbb{R}^n$ endowed with a...
Given (M,g) a smooth compact Riemannian N-manifold, we prove that for any fixed positive integer K t...
Let $(M,g)$ be a smooth connected compact Riemannian manifold of finite dimension $n\geq 2$\ with a ...
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...
This paper deals with solutions to the equation-Delta u = lambda(+ )(u(+))(q-1) - lambda(-)(u(-))(q-...
We prove existence of solutions for a class of singular elliptic problems with a general measure as ...
Given (M,g) a smooth compact Riemannian N-manifold, we we show that positive solutions to the prob...
On a smooth, closed Riemannian manifold $\left(M,g\right)$ of dimension $n\ge3$, we consider the sta...
Given (M, g) a smooth compact Riemannian N-manifold, we prove that for any fixed positive integer K ...
In this paper, under very general assumptions, we prove existence and regularity of distributional s...
We investigate existence or nonexistence of solutions to a class of singular Dirichlet problems, de...
International audienceWe investigate the rigidity properties of stable, bounded solutions of semilin...
We study existence and uniqueness of solutions to a nonlinear elliptic boundary value problem with a...
summary:The aim of this paper is to study the existence of variational solutions to a nonhomogeneous...
We study $X$-elliptic harmonic maps of an open set $\mathcal{U} \subset \mathbb{R}^n$ endowed with a...
Given (M,g) a smooth compact Riemannian N-manifold, we prove that for any fixed positive integer K t...
Let $(M,g)$ be a smooth connected compact Riemannian manifold of finite dimension $n\geq 2$\ with a ...
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...
This paper deals with solutions to the equation-Delta u = lambda(+ )(u(+))(q-1) - lambda(-)(u(-))(q-...
We prove existence of solutions for a class of singular elliptic problems with a general measure as ...
Given (M,g) a smooth compact Riemannian N-manifold, we we show that positive solutions to the prob...
On a smooth, closed Riemannian manifold $\left(M,g\right)$ of dimension $n\ge3$, we consider the sta...
Given (M, g) a smooth compact Riemannian N-manifold, we prove that for any fixed positive integer K ...
In this paper, under very general assumptions, we prove existence and regularity of distributional s...
We investigate existence or nonexistence of solutions to a class of singular Dirichlet problems, de...
International audienceWe investigate the rigidity properties of stable, bounded solutions of semilin...
We study existence and uniqueness of solutions to a nonlinear elliptic boundary value problem with a...
summary:The aim of this paper is to study the existence of variational solutions to a nonhomogeneous...
We study $X$-elliptic harmonic maps of an open set $\mathcal{U} \subset \mathbb{R}^n$ endowed with a...