On the decay of the solutions of some nonlinear Schrödinger equations
On the existence and smoothness of radially symmetric solutions of a BVP for a class of nonlinear, non-Lipschitz perturbations of the Laplace equation.
On the existence of periodic solutions of a semilinear wave equation with a superlinear forcing term
On the existence of positive solutions of semilinear elliptic equations with Dirichlet boundary conditions.
On the exponential growth of solutions to nonlinear hyperbolic equations.
On the exterior Dirichlet problem for
On the Ginzburg-Landau energy with weight
On the Liouville property for fully nonlinear equations
On the Liouville property for sublaplacians
On the nodal lines of second eigenfunctions of the fixed membrane problem.
On the oscillation of forced second order mixed-nonlinear elliptic equations
Oscillation theorems are established for forced second order mixed-nonlinear elliptic differential equations ⎧ , ⎨ ⎩ under quite general conditions. These results are extensions of the recent results of Sun and Wong, [J. Math. Anal. Appl. 334 (2007)] and Zheng, Wang and Han [Appl. Math. Lett. 22 (2009)] for forced second order ordinary differential equations with...
On the oscillation of solutions of parabolic partial functional differential equations
On the oscillation of some impulsive parabolic equations with several delays
In this paper, several oscillation criteria are established for some nonlinear impulsive functional parabolic equations with several delays subject to boundary conditions. We shall mainly use the divergence theorem and some corresponding impulsive delayed differential inequalities.
On the -growth of entire function solutions of Helmholtz equation.
On the perturbation propagation in the initial-boundary value problem for quasilinear first order equations.
The paper deals with initial-boundary value problem for generalized solutions of single quasilinear nonautonomous conservation law. For the case so-called "processes with aggravation" the localization property and inner boundedness are studied. Also in case when boundary function tends to zero as t ⇒ +∞ the localization effect is regarded.
On the radially symmetric solutions of a BVP for a class of nonlinear elliptic partial differential equations.
On the regular solutions for some classes of Navier-Stokes equations
On the Schrödinger heat kernel in horn-shaped domains
We prove pointwise lower bounds for the heat kernel of Schrödinger semigroups on Euclidean domains under Dirichlet boundary conditions. The bounds take into account non-Gaussian corrections for the kernel due to the geometry of the domain. The results are applied to prove a general lower bound for the Schrödinger heat kernel in horn-shaped domains without assuming intrinsic ultracontractivity for the free heat semigroup.
On the solutions of nonlinear initial-boundary value problems.
On the Solvability of Semilinear Elliptic Equations with Nonlinear Boundary Conditions.