We prove the energy identity for the Sacks-Uhlenbeck and the biharmonic approximation of harmonic maps from surfaces into general target manifolds. The proof relies on Hopf-differential type estimates for the two approximations and on estimates for the concentration radius of bubbles
Abstract.: We consider the Landau-Lifshitz flow on a bounded planar domain. An $\epsilon$ -regularit...
summary:In this article, we obtain a gap property of energy densities of harmonic maps from a closed...
We consider the asymptotic behavior as $\varepsilon $ goes to zero of the 2D smectics model in the p...
AbstractThis paper is concerned with the asymptotic behavior of a p-Ginzburg–Landau functional with ...
We establish small energy H\"{o}lder bounds for minimizers $u_\varepsilon$ of \[E_\varepsilon (u):=\...
In this paper we discuss the stability and local minimising properties of spherical twists that aris...
AbstractThis paper is concerned with the asymptotic behavior of the regularized minimizer uε=(uε1,uε...
AbstractThis paper is concerned with solutions to the Dirac equation: −i∑αk∂ku+aβu+M(x)u=Ru(x,u). He...
AbstractWe study contact harmonic maps, i.e. smooth maps ϕ:M→N from a strictly pseudoconvex CR manif...
AbstractThe i-th eigenvalue of the Laplacian on a surface can be viewed as a functional on the space...
* Partially supported by CNPq (Brazil)We study the distribution of the (complex) eigenvalues for int...
AbstractThis paper is concerned with analyzing the limiting behavior of the least energy solutions f...
We seek critical points of the Hessian energy functional $$E_\Omega(u)\!=\!\int_\Omega\vert\Delta u\...
AbstractThe author studies the minimization of an energy functional which is introduced in the study...
9 pagesWe prove an a priori estimate of type sup*inf on Riemannian manifold of dimension 3 (not nece...
Abstract.: We consider the Landau-Lifshitz flow on a bounded planar domain. An $\epsilon$ -regularit...
summary:In this article, we obtain a gap property of energy densities of harmonic maps from a closed...
We consider the asymptotic behavior as $\varepsilon $ goes to zero of the 2D smectics model in the p...
AbstractThis paper is concerned with the asymptotic behavior of a p-Ginzburg–Landau functional with ...
We establish small energy H\"{o}lder bounds for minimizers $u_\varepsilon$ of \[E_\varepsilon (u):=\...
In this paper we discuss the stability and local minimising properties of spherical twists that aris...
AbstractThis paper is concerned with the asymptotic behavior of the regularized minimizer uε=(uε1,uε...
AbstractThis paper is concerned with solutions to the Dirac equation: −i∑αk∂ku+aβu+M(x)u=Ru(x,u). He...
AbstractWe study contact harmonic maps, i.e. smooth maps ϕ:M→N from a strictly pseudoconvex CR manif...
AbstractThe i-th eigenvalue of the Laplacian on a surface can be viewed as a functional on the space...
* Partially supported by CNPq (Brazil)We study the distribution of the (complex) eigenvalues for int...
AbstractThis paper is concerned with analyzing the limiting behavior of the least energy solutions f...
We seek critical points of the Hessian energy functional $$E_\Omega(u)\!=\!\int_\Omega\vert\Delta u\...
AbstractThe author studies the minimization of an energy functional which is introduced in the study...
9 pagesWe prove an a priori estimate of type sup*inf on Riemannian manifold of dimension 3 (not nece...
Abstract.: We consider the Landau-Lifshitz flow on a bounded planar domain. An $\epsilon$ -regularit...
summary:In this article, we obtain a gap property of energy densities of harmonic maps from a closed...
We consider the asymptotic behavior as $\varepsilon $ goes to zero of the 2D smectics model in the p...