Compactness and global estimates for the geometric Paneitz equation in high dimensions.
Compactness of conformal metrics with positive gaussian curvature in
Comparison principle and Liouville type results for singular fully nonlinear operators
Comparison results for Hessian equations via symmetrization
Comparison results for semilinear elliptic equations via Picone-type identities.
Comparison theorems for some quasilinear degenerate elliptic operators and applications to symmetry and monotonicity results
Complex Ginzburg-Landau equations in high dimensions and codimension two area minimizing currents
There is an obvious topological obstruction for a finite energy unimodular harmonic extension of a -valued function defined on the boundary of a bounded regular domain of . When such extensions do not exist, we use the Ginzburg-Landau relaxation procedure. We prove that, up to a subsequence, a sequence of Ginzburg-Landau minimizers, as the coupling parameter tends to infinity, converges to a unimodular harmonic map away from a codimension-2 minimal current minimizing the area within the homology...
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.