A saddle point approach to nonlinear eigenvalue problems
A saddle point theorem for non-smooth functionals and problems at resonance.
A shape-optimization technique for the capillary surface problem.
A sharpening of a theorem of Bouligand. With an application to harmonic maps.
A short note on -biharmonic hypersurfaces
In the present paper we give some properties of -biharmonic hypersurfaces in real space forms. By using the -biharmonic equation for a hypersurface of a Riemannian manifold, we characterize the -biharmonicity of constant mean curvature and totally umbilical hypersurfaces in a Riemannian manifold and, in particular, in a real space form. As an example, we consider -biharmonic vertical cylinders in .
A sign-changing solution for a superlinear Dirichlet problem. II.
A splitting lemma for non-reflexive Banach spaces.
A stable manifold theorem for the gradient flow of geometric variational problems associated with quasi-linear parabolic equations
A stochastic characterization for harmonic morphisms.
A Sufflcient Condition for a Critical Point of a Functional to be a Minimum and Its Application to Plateau' s Problem.
A theorem on the escape from the space of hyperbolic polynomials.
A time periodic solution of the Navier-Stokes equations with mixed boundary conditions
A Twistor Description of Harmonic Maps of a 2-Sphere into a Grassmannian.
A typical convex surface contains no closed geodesic.
A unified approach to min-max critical point theorems.
A variational analysis of a gauged nonlinear Schrödinger equation
This paper is motivated by a gauged Schrödinger equation in dimension 2 including the so-called Chern-Simons term. The study of radial stationary states leads to the nonlocal problem: , where . This problem is the Euler-Lagrange equation of a certain energy functional. In this paper the study of the global behavior of such functional is completed. We show that for , the functional may be bounded from below or not, depending on . Quite surprisingly, the threshold value for is explicit. From...
A Variational Approach to Bifurcation in Lp on an Unbounded Symmetrical Domain.
A variational approach to homoclinic orbits in Hamiltonian systems.
A version of Zhong's coercivity result for a general class of nonsmooth functionals.
A Weierstrass-type representation for harmonic maps from Riemann surfaces to general Lie groups.