Add to ORKGWe study the Yamabe equation in the Euclidean half-space. We prove that any sign-changing solution has at least twice the energy of a standard bubble. Moreover, a sharper energy lower bound of the sign-changing solution set is also established via the method of moving planes. This bound increases the energy range for which Palais-Smale sequences of related variational problem has a non-trivial weak limit.Comment: 16 page
The study of semilinear partial differential equations has proven to be of great importance in the f...
In this note we will prove that the CR-Yamabe equation has infinitely many changing-sign solutions. ...
Given a compact Riemannian manifold (M, g) without bound- ary of dimension m ≥ 3 and under some symm...
Abstract In this paper we prove that the CR-Yamabe equation on the sphere has infinitely many sign c...
In the well-known paper [A. Bahri and J.M. Coron, Commun. Pure Appl. Math. 41 (1988) 253–294], Bahri...
preprintIn this paper, we analyze the asymptotic behavior of Palais-Smale sequences associa...
In this paper, we analyze the asymptotic behavior of Palais-Smale sequences associated to fractional...
Using variational methods together with symmetries given by singular Riemannian foliations with posi...
We build blowing-up solutions for linear perturbation of the Yamabe problem on manifolds with bounda...
We develop the calculus for hypersurface variations based on variation of the hypersurface ...
We apply iterative schemes and perturbation methods to completely solve the boundary Yamabe problem ...
Let (M, g) be a closed Riemannian manifold of dimension n≥ 3 and x∈ M be an isolated local minimum o...
Let (M,g) be a non-locally conformally flat compact Riemannian manifold with dimension N≥7. We are i...
We build blowing-up solutions for linear perturbation of the Yamabe problem on manifolds with bound...
By introducing a new topology, a representation formula of the Gamma limit of the Kobayashi-Warren-C...
The study of semilinear partial differential equations has proven to be of great importance in the f...
In this note we will prove that the CR-Yamabe equation has infinitely many changing-sign solutions. ...
Given a compact Riemannian manifold (M, g) without bound- ary of dimension m ≥ 3 and under some symm...
Abstract In this paper we prove that the CR-Yamabe equation on the sphere has infinitely many sign c...
In the well-known paper [A. Bahri and J.M. Coron, Commun. Pure Appl. Math. 41 (1988) 253–294], Bahri...
preprintIn this paper, we analyze the asymptotic behavior of Palais-Smale sequences associa...
In this paper, we analyze the asymptotic behavior of Palais-Smale sequences associated to fractional...
Using variational methods together with symmetries given by singular Riemannian foliations with posi...
We build blowing-up solutions for linear perturbation of the Yamabe problem on manifolds with bounda...
We develop the calculus for hypersurface variations based on variation of the hypersurface ...
We apply iterative schemes and perturbation methods to completely solve the boundary Yamabe problem ...
Let (M, g) be a closed Riemannian manifold of dimension n≥ 3 and x∈ M be an isolated local minimum o...
Let (M,g) be a non-locally conformally flat compact Riemannian manifold with dimension N≥7. We are i...
We build blowing-up solutions for linear perturbation of the Yamabe problem on manifolds with bound...
By introducing a new topology, a representation formula of the Gamma limit of the Kobayashi-Warren-C...
The study of semilinear partial differential equations has proven to be of great importance in the f...
In this note we will prove that the CR-Yamabe equation has infinitely many changing-sign solutions. ...
Given a compact Riemannian manifold (M, g) without bound- ary of dimension m ≥ 3 and under some symm...