Existence of weak solutions for nonlinear systems involving several -Laplacian operators.
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 class of elliptic systems with indefinite weights in .
Existence result for a class of nonlinear elliptic systems on punctured unbounded domains.
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 class of semilinear degenerate elliptic equations
We prove existence results for the Dirichlet problem associated with an elliptic semilinear second-order equation of divergence form. Degeneracy in the ellipticity condition is allowed.
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 a nonlinear problem modeling the displacement of a solid in a transverse flow
Existence results for boundary problems for uniformly elliptic and parabolic fully nonlinear equations.
Existence results for classes of -Laplacian semipositone equations.
Existence results for elliptic systems involving critical Sobolev exponents.
Existence results for Hamiltonian elliptic systems with nonlinear boundary conditions.
Existence results for mean field equations
Existence results for non-autonomous elliptic boundary value problems.
Existence results for nonlinear elliptic equations in bounded domains of .
Existence results for nonlocal and nonsmooth hemivariational inequalities.
Existence results for polyharmonic boundary value problems in the unit ball.
Existence results for quasilinear degenerated equations via strong convergence of truncations.
In this paper we study the existence of solutions for quasilinear degenerated elliptic operators A(u) + g(x,u,∇u) = f, where A is a Leray-Lions operator from W01,p(Ω,ω) into its dual, while g(x,s,ξ) is a nonlinear term which has a growth condition with respect to ξ and no growth with respect to s, but it satisfies a sign condition on s. The right hand side f is assumed to belong either to W-1,p'(Ω,ω*) or to L1(Ω).