On a problem of lower limit in the study of nonresonance.
On a problem of lower limit in the study of nonresonance with Leray-Lions operator.
On a problem of shallow water type.
On a proof of the boundedness and nuclearity of pseudodifferential operators in
On a Purely ?Riemannian" Proof of the Structure and Dimension of the Unramified Moduli Space of a Compact Riemann Surface.
On a quasilinear elliptic equation and a Riemannian metric invariant under Möbius transformations.
On a quasilinear elliptic equation and a Riemannian metric invariant under Möbius transformations. (Summary).
On a quasilinear inverse boundary value problem.
On a quasi-variational inequality arising in semiconductor theory.
Some new mathematical results of existence and uniqueness of solutions are obtained for a class of quasi-variational inequalities modeling the free boundary problem for the determination of the depletion zone in reverse biased semiconductor diodes. The corresponding one (or two) obstacle implicit problems are solved by direct methods with weak regularity estimates for mixed boundary value elliptic problems of second order.
On a reaction-diffusion system involving the critical exponent.
In this paper we study the existence and multiplicity of the nontrivial solutions for a given elliptic system with Dirichlet boundary conditions and critical nonlinearity.
On a real Monge-Ampère functional.
On a regularizing effect of Schrödinger type groups
On a scalar conservation law with nonlinear diffusion and linear dispersion in heterogeneous media.
On a seawater intrusion problem.
On a semilinear elliptic eigenvalue problem
We obtain a description of the spectrum and estimates for generalized positive solutions of -Δu = λ(f(x) + h(u)) in Ω, , where f(x) and h(u) satisfy minimal regularity assumptions.
On a semilinear elliptic equation in
We prove existence/nonexistence and uniqueness of positive entire solutions for some semilinear elliptic equations on the Hyperbolic space.
On a semilinear variational problem
We provide a detailed analysis of the minimizers of the functional , , subject to the constraint . This problem,e.g., describes the long-time behavior of the parabolic Anderson in probability theory or ground state solutions of a nonlinear Schrödinger equation. While existence can be proved with standard methods, we show that the usual uniqueness results obtained with PDE-methods can be considerably simplified by additional variational arguments. In addition, we investigate qualitative properties...
On a semilinear variational problem
We provide a detailed analysis of the minimizers of the functional , , subject to the constraint . This problem, e.g., describes the long-time behavior of the parabolic Anderson in probability theory or ground state solutions of a nonlinear Schrödinger equation. While existence can be proved with standard methods, we show that the usual uniqueness results obtained with PDE-methods can be considerably simplified by additional variational arguments. In addition, we investigate qualitative properties...
On a semi-variational method for parabolic equations. I
On a shock problem involving a nonlinear viscoelastic bar.