Existence of solutions for a degenerate nonlinear evolution equation.
We consider a model of generalized Cahn-Hilliard equations with a logarithmic free energy and a degenerate mobility, and obtain a result on the existence of solutions.
Existence of solutions for a degenerate seawater intrusion problem.
Existence of solutions for a family of polyharmonic and biharmonic equations.
Existence of solutions for a model of self-gravitating particles with external potential
We study the existence of solutions to a nonlinear parabolic equation describing the temporal evolution of a cloud of self-gravitating particles with a given external potential. The initial data are in spaces of (generalized) pseudomeasures. We prove existence of local and global-in-time solutions, and also a kind of stability of global solutions.
Existence of solutions for a nonlinear degenerate elliptic system.
Existence of solutions for a nonlinear discrete system involving the -Laplacian
The existence of solutions for boundary value problems for a nonlinear discrete system involving the -Laplacian is investigated. The approach is based on critical point theory.
Existence of solutions for a nonlinear elliptic Dirichlet boundary value problem with an inverse square potential.
Existence of solutions for a nonlinear elliptic equation with general flux term.
Existence of solutions for a nonlinear hyperbolic-parabolic equation in a non-cylinder domain.
Existence of solutions for a -Laplacian non-homogeneous equations.
Existence of solutions for a resonant problem under Landesman-Lazer conditions.
Existence of solutions for a semilinear elliptic system
This paper deals with the existence of solutions to the following system:−Δu+u=αα+βa(x)|v|β|u|α−2u inRN−Δv+v=βα+βa(x)|u|α|v|β−2v inRN. With the help of the Nehari manifold and the linking theorem, we prove the existence of at least two nontrivial solutions. One of them is positive. Our main tools are the concentration-compactness principle and the Ekeland’s variational principle.
Existence of solutions for a sublinear system of elliptic equations.
Existence of solutions for a system of elliptic partial differential equations.
Existence of solutions for a variational unilateral system.
Existence of solutions for abstract neutral integro-differential equations with unbounded delay
In this paper we study the existence of classical solutions for a class of abstract neutral integro-differential equation with unbounded delay. A concrete application to partial neutral integro-differential equations is considered.
Existence of solutions for an abstract second-order differential equation with nonlocal conditions.
Existence of solutions for an eigenvalue problem with weight.
Existence of solutions for an elliptic equation involving the -Laplace operator.
Existence of solutions for an elliptic-algebraic system describing heat explosion in a two-phase medium