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 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 elliptic equations having natural growth terms in Orlicz spaces.
Existence of solutions for elliptic systems involving operators in divergence form.
Existence of solutions for elliptic systems with critical Sobolev exponent.
Existence of solutions for Navier problems with degenerate nonlinear elliptic equations
In this paper we are interested in the existence and uniqueness of solutions for the Navier problem associated to the degenerate nonlinear elliptic equations in the setting of the weighted Sobolev spaces.
Existence of solutions for -Laplacian equations.
Existence of solutions for some nonlinear elliptic equations.
Existence of solutions for the -Laplacian problem with singular term.
Existence of solutions of strongly nonlinear elliptic equations in RN.
The paper is dedicated to the existence of local solutions of strongly nonlinear equations in RN and the Orlicz spaces framework is used.
Existence of solutions to indefinite quasilinear elliptic problems of --Laplacian type.
Existence of solutions to nonlocal and singular elliptic problems via Galerkin method.
Existence of solutions to nonlocal and singular variational elliptic inequality via Galerkin method.
Existence of solutions to -Laplace equations with logarithmic nonlinearity.
Existence of stable periodic solutions for quasilinear parabolic problems in the presence of well-ordered lower and upper-solutions.