A remark on -harmonic functions on Riemannian manifolds.
A remark on infinity harmonic functions.
A Remark on Invariant Pseudo-Differential Operators.
A remark on Morrey type regularity for nonlinear elliptic systems of second order
A remark on multiplicity of solutions for the Ginzburg-Landau equation
A remark on parabolic equations.
A remark on perturbed elliptic equations of Caffarelli-Kohn-Nirenberg type.
Using a perturbation argument based on a finite dimensional reduction, we find positive solutions to a given class of perturbed degenerate elliptic equations with critical growth.
A remark on Schrödinger's equation with a short range potential
A remark on some nonlinear elliptic problems.
A remark on the bifurcation diagrams of superlinear elliptic equations
We prove a formula relating the index of a solution and the rotation number of a certain complex vector along bifurcation diagrams.
A remark on the blowup of solutions to the Laplace equations with nonlinear dynamical boundary conditions.
A remark on the blow-up of the solutions of a partial differential equation.
A remark on the existence of large solutions via sub and supersolutions.
A remark on the existence of steady Navier-Stokes flows in 2D semi-infinite channel involving the general outflow condition
We consider the steady Navier-Stokes equations in a 2-dimensional unbounded multiply connected domain under the general outflow condition. Let be a 2-dimensional straight channel . We suppose that is bounded and that . Let be a Poiseuille flow in and the flux of . We look for a solution which tends to as . Assuming that the domain and the boundary data are symmetric with respect to the -axis, and that the axis intersects every component of the boundary, we have shown the existence...
A Remark on the L... Bounds of the Ritz Operator Associated with a Finite Element Approximation.
A remark on the large time behavior of solutions of viscous Hamilton-Jacobi equations
A remark on the note : “Partial Hölder continuity of the spatial derivatives of the solutions to nonlinear parabolic systems with quadratic growth”
A Remark on the Preceding paper of Fucik and Krbec.
A remark on the regularity for the 3D Navier-Stokes equations in terms of the two components of the velocity.
A remark on the smoothness of bounded regions filled with a steady compressible and isentropic fluid
For convenient adiabatic constants, existence of weak solutions to the steady compressible Navier-Stokes equations in isentropic regime in smooth bounded domains is well known. Here we present a way how to prove the same result when the bounded domains considered are Lipschitz.