On the Dirichlet Problem for the Complex Monge-Ampère Operator.
On the discretization of a partial differential equation in the neighborhood of a periodic orbit.
On the discretization of degenerate sweeping processes.
On the envelope of regularity for solutions of homogeneous systems of linear partial differential operators
On the existence and regularity of solutions of linear equations in spaces
On the existence of global holomorphic solutions of differential equations with complex parameters
On the Existence of Solutions of Certain Asymptotically Homogeneous Problems.
On the existence of solutions to a fourth-order quasilinear resonant problem.
On the global Cauchy problem for some non linear Schrödinger equations
On the global solvability of linear partial differential equations with constant coefficients in the space of real analytic functions
This article surveys results on the global surjectivity of linear partial differential operators with constant coefficients on the space of real analytic functions. Some new results are also included.
On the Hölder continuity of weak solutions of quasilinear elliptic systems of second order
On the hyperbolicity of a third order operator and the generalized Goursat-Darboux problem
On the Korteweg-De Vries Equation.
On the method of least squares on the boundary
On the operator related to Bessel heat equation.
On the Paneitz energy on standard three sphere
We prove that the Paneitz energy on the standard three-sphere is bounded from below and extremal metrics must be conformally equivalent to the standard metric.
On the Paneitz energy on standard three sphere
We prove that the Paneitz energy on the standard three-sphere S3 is bounded from below and extremal metrics must be conformally equivalent to the standard metric.
On the p-biharmonic operator with critical Sobolev exponent
We study the existence of solutions for a p-biharmonic problem with a critical Sobolev exponent and Navier boundary conditions, using variational arguments. We establish the existence of a precise interval of parameters for which our problem admits a nontrivial solution.
On the quasiuniqueness of solutions of degenerate equations in Hilbert space.
On the regularity of solutions in Convex Integration theory.