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
existence of solutions for an elliptic-algebraic system describing heat explosion in a two-phase medium
The paper is devoted to analysis of an elliptic-algebraic system of equations describing heat explosion in a two phase medium filling a star-shaped domain. Three types of solutions are found: classical, critical and multivalued. Regularity of solutions is studied as well as their behavior depending on the size of the domain and on the coefficient of heat exchange between the two phases. Critical conditions of existence of solutions are found for arbitrary positive source function.
Existence of solutions for an Oldroyd model of viscoelastic fluids.
Existence of solutions for compressible fluid models of Korteweg type
Existence of solutions for degenerate sweeping processes.