Existence of a positive solution for a -Laplacian semipositone problem.
Existence of a principal eigenvalue for the Tricomi problem.
Existence of a solution for a nonlinearly elastic plane membrane “under tension”
A justification of the two-dimensional nonlinear “membrane” equations for a plate made of a Saint Venant-Kirchhoff material has been given by Fox et al. [9] by means of the method of formal asymptotic expansions applied to the three-dimensional equations of nonlinear elasticity. This model, which retains the material-frame indifference of the original three dimensional problem in the sense that its energy density is invariant under the rotations of , is equivalent to finding the critical points...
Existence of a solution to with a maximal monotone graph in for every given
Existence of absorbing set for a nonlinear wave equation.
Existence of blow-up solutions for a degenerate parabolic-elliptic Keller–Segel system with logistic source
This paper deals with existence of finite-time blow-up solutions to a degenerate parabolic–elliptic Keller–Segel system with logistic source. Recently, finite-time blow-up was established for a degenerate Jäger–Luckhaus system with logistic source. However, blow-up solutions of the aforementioned system have not been obtained. The purpose of this paper is to construct blow-up solutions of a degenerate Keller–Segel system with logistic source.
Existence of blowup solutions for nonlinear problems with a gradient term.
Existence of C... local Solutions for the Monge-Ampère equation.
Existence of doubly-weighted pseudo almost periodic solutions to non-autonomous differential equations.
Existence of entire positive solutions for a class of semilinear elliptic systems.
Existence of extremal periodic solutions for quasilinear parabolic equations.
Existence of global attractors in for -Laplacian parabolic equation in .
Existence of global solution for a nonlocal parabolic problem.
Existence of global solution of a nonlinear wave equation with short-range potential
Existence of global solutions for a predator-prey model with cross-diffusion.
Existence of global solutions for systems of reaction-diffusion equations on unbounded domains.
Existence of global solutions to a quasilinear wave equation with general nonlinear damping.
Existence of global solutions to reaction-diffusion systems via a Lyapunov functional.
Existence of Global Solutions to Supercritical Semilinear Wave Equations
∗The author was partially supported by Alexander von Humboldt Foundation and the Contract MM-516 with the Bulgarian Ministry of Education, Science and Thechnology.In this work we study the existence of global solution to the semilinear wave equation (1.1) (∂2t − ∆)u = F(u), where F(u) = O(|u|^λ) near |u| = 0 and λ > 1. Here and below ∆ denotes the Laplace operator on R^n. The existence of solutions with small initial data, for the case of space dimensions n = 3 was studied by F. John in [13],...
Existence of global solutions to the Cauchy problem for the seminlinear dissipative wave equations.