Remarks on inhomogeneous elliptic problems arising in astrophysics.
Remarks on Kato's square-root problem.
Remarks on Krasnoselskii bifurcation theorem
Remarks on least energy solutions for quasilinear elliptic problems in .
Remarks on Nagumo's condition.
Remarks on non controllability of the heat equation with memory
In this paper we deal with the null controllability problem for the heat equation with a memory term by means of boundary controls. For each positive final time T and when the control is acting on the whole boundary, we prove that there exists a set of initial conditions such that the null controllability property fails.
Remarks on nonlinear biharmonic evolution equation of Kirchhoff type in noncylindrical domain.
Remarks on null controllability for semilinear heat equation in moving domains.
Remarks on Parameter Identification. I.
Remarks on Parameter Identification. II. Convergence of the Algorithm.
Remarks on positive solutions to a semilinear Neumann problem
In this paper we study the influence of the domain topology on the multiplicity of solutions to a semilinear Neumann problem. In particular, we show that the number of positive solutions is stable under small perturbations of the domain.
Remarks on quasilinear evolutions equations.
Remarks on quenching.
Remarks on regularity criteria for the Navier-Stokes equations with axisymmetric data
We consider the axisymmetric Navier-Stokes equations with non-zero swirl component. By invoking the Hardy-Sobolev interpolation inequality, Hardy inequality and the theory of (1 < β < ∞) weights, we establish regularity criteria involving , or in some weighted Lebesgue spaces. This improves many previous results.
Remarks on relativistic Schrödinger operators and their extensions
Remarks on some fourth order variational inequalities
Remarks on some Variable Domain Problems in Abstract Evolution Equations.
Remarks on the a priori bound for the vorticity of the axisymmetric Navier-Stokes equations
We study the axisymmetric Navier-Stokes equations. In 2010, Loftus-Zhang used a refined test function and re-scaling scheme, and showed that By employing the dimension reduction technique by Lei-Navas-Zhang, and analyzing , and on different hollow cylinders, we are able to improve it and obtain
Remarks on the asymptotical behaviour of solutions to some nonlinear parabolic equations
Remarks on the blow-up criterion for the MHD system involving horizontal components or their horizontal gradients
We study the Cauchy problem for the MHD system, and provide two regularity conditions involving horizontal components (or their gradients) in Besov spaces. This improves previous results.