On planar Beltrami equations and Hölder regularity.
On planar selfdual electroweak vortices
On poles of scattering matrices for several convex bodies
On polyharmonic maps into spheres in the critical dimension
On polynomials of Sheffer type arising from a Cauchy problem.
On positive entire solutions to the Yamabe-type problem on the Heisenberg and stratified groups.
On Positive L? Solutions of a Class of Elliptic Systems.
On positive Liouville theorems and asymptotic behavior of solutions of fuchsian type elliptic operators
On positive Rockland operators
Let G be a homogeneous Lie group with a left Haar measure dg and L the action of G as left translations on . Further, let H = dL(C) denote a homogeneous operator associated with L. If H is positive and hypoelliptic on we prove that it is closed on each of the -spaces, p ∈ 〈 1,∞〉, and that it generates a semigroup S with a smooth kernel K which, with its derivatives, satisfies Gaussian bounds. The semigroup is holomorphic in the open right half-plane on all the -spaces, p ∈ [1,∞]. Further extensions...
On positive solutions for a class of strongly coupled -Laplacian systems.
On Positive Solutions of a Linear Elliptic Eigenvalue Problem with Neumann Boundary Conditions.
On positive solutions of nonlinear elliptic equations involving concave and critical nonlinearities
We study the existence of nonnegative solutions of elliptic equations involving concave and critical Sobolev nonlinearities. Applying various variational principles we obtain the existence of at least two nonnegative solutions.
On positive solutions of quasilinear elliptic systems
In this paper, we consider the existence and nonexistence of positive solutions of degenerate elliptic systems where is the -Laplace operator, and is a -domain in . We prove an analogue of [7, 16] for the eigenvalue problem with , and obtain a non-existence result of positive solutions for the general systems.
On positive solutions of semilinear elliptic problems
On positive solutions of some periodic parabolic eigenvalue problem with a weight function
On Positive Solutions of -...u = F(x, u).
On power series solutions for the Euler equation, and the Behr–Nečas–Wu initial datum
We consider the Euler equation for an incompressible fluid on a three dimensional torus, and the construction of its solution as a power series in time. We point out some general facts on this subject, from convergence issues for the power series to the role of symmetries of the initial datum. We then turn the attention to a paper by Behr, Nečas and Wu, ESAIM: M2AN 35 (2001) 229–238; here, the authors chose a very simple Fourier polynomial as an initial datum for the Euler equation and analyzed...
On «power-logarithmic» solutions of the Dirichlet problem for elliptic systems in , where is a d-dimensional cone
A description of all «power-logarithmic» solutions to the homogeneous Dirichlet problem for strongly elliptic systems in a -dimensional cone is given, where is an arbitrary open cone in and .
On preconditioning Schur complement and Schur complement preconditioning.
On pressure boundary conditions for steady flows of incompressible fluids with pressure and shear rate dependent viscosities
We consider a class of incompressible fluids whose viscosities depend on the pressure and the shear rate. Suitable boundary conditions on the traction at the inflow/outflow part of boundary are given. As an advantage of this, the mean value of the pressure over the domain is no more a free parameter which would have to be prescribed otherwise. We prove the existence and uniqueness of weak solutions (the latter for small data) and discuss particular applications of the results.