Comportamento asintotico dello spettro di operatori multi-quasi-ellittici di tipo Schrödinger
Concentration and dynamic system of solutions for semilinear elliptic equations.
Concentration of solutions to elliptic equations with critical nonlinearity
Concentration phenomena for Liouville's equation in dimension four
Concentration phenomena for solutions of superlinear elliptic problems
Concentration phenomena of two-vortex solutions in a Chern-Simons model
By considering an abelian Chern-Simons model, we are led to study the existence of solutions of the Liouville equation with singularities on a flat torus. A non-existence and degree counting for solutions are obtained. The former result has an application in the Chern-Simons model.
Concentration-compactness principle for variable exponent spaces and applications.
Conditions aux limites non homogènes pour des problèmes elliptiques avec second membre mesure
Confomal deformations on a noncompact Riemannian manifold.
Conformal complete metrics with prescribed non-negative Gaussian curvature in R2.
Conformal Geometry and the Composite Membrane Problem
We show that a certain eigenvalue minimization problem in two dimensions for the Laplace operator in conformal classes is equivalent to the composite membrane problem. We again establish such a link in higher dimensions for eigenvalue problems stemming from the critical GJMS operators. New free boundary problems of unstable type arise in higher dimensions linked to the critical GJMS operator. In dimension four, the critical GJMS operator is exactly the Paneitz operator.
Conformal scalar curvature on the hyperbolic space.
Conformally Invariant Systems of Nonlinear PDE of Liouville Type.
Construction of Singular Solutions to the P-Harmonic Equation and its Limit Equation for P = ... .
Construction of the Leray-Schauder degree for elliptic operators in unbounded domains
Construction of the wave group for higher order elliptic boundary value problems
Continuity of solutions of a nonlinear elliptic equation
We consider a nonlinear elliptic equation of the form div [a(∇u)] + F[u] = 0 on a domain Ω, subject to a Dirichlet boundary condition tru = φ. We do not assume that the higher order term a satisfies growth conditions from above. We prove the existence of continuous solutions either when Ω is convex and φ satisfies a one-sided bounded slope condition, or when ais radial: a ( ξ ) = l ( | ξ | ) | ξ | ξ for some increasingl:ℝ+ → ℝ+.
Continuous and estimates for the complex Monge-Ampère equation on bounded domains in .
Continuous dependence estimates for the ergodic problem of Bellman-Isaacs operators via the parabolic Cauchy problem
This paper concerns continuous dependence estimates for Hamilton-Jacobi-Bellman-Isaacs operators. We establish such an estimate for the parabolic Cauchy problem in the whole space [0, +∞) × ℝn and, under some periodicity and either ellipticity or controllability assumptions, we deduce a similar estimate for the ergodic constant associated to the operator. An interesting byproduct of the latter result will be the local uniform convergence for some classes of singular perturbation problems.
Continuous dependence estimates for viscosity solutions of fully nonlinear degenerate elliptic equations.