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.
Existence of strong solutions for a class of nonlinear partial differential equations satisfying nonlinear boundary conditions
Existence of three solutions for a Navier boundary value problem involving the p(x)-biharmonic operator
The existence of at least three weak solutions is established for a class of quasilinear elliptic equations involving the p(x)-biharmonic operator with Navier boundary value conditions. The proof is mainly based on a three critical points theorem due to B. Ricceri [Nonlinear Anal. 70 (2009), 3084-3089].
Existence of weak solutions for nonlinear elliptic systems on .
Existence of weak solutions for quasilinear elliptic equations involving the -Laplacian.
Existence of weak-renormalized solution for a nonlinear system.
We prove an existence result for a coupled system of the reaction-diffusion kind. The fact that no growth condition is assumed on some nonlinear terms motivates the search of a weak-renormalized solution.
Existence result for a semilinear parametric problem with Grushin type operator.
Existence results and applications for general variational-hemivariational inequalities on unbounded domains.
Existence results for a fourth order partial differential equation arising in condensed matter physics
We study a higher order parabolic partial differential equation that arises in the context of condensed matter physics. It is a fourth order semilinear equation which nonlinearity is the determinant of the Hessian matrix of the solution. We consider this model in a bounded domain of the real plane and study its stationary solutions both when the geometry of this domain is arbitrary and when it is the unit ball and the solution is radially symmetric. We also consider the initial-boundary value problem...
Existence results for boundary problems for uniformly elliptic and parabolic fully nonlinear equations.
Existence results for elliptic systems involving critical Sobolev exponents.
Existence results for mean field equations
Existence results for nonlinear elliptic equations in bounded domains of .