Pseudo-monotonicity and degenerate elliptic operators of second order.
Existence and regularity of entropy solutions for some nonlinear elliptic equations.
On the -regularity of solutions of nonlinear elliptic equations in Orlicz spaces.
On the solvability of degenerated quasilinear elliptic problems.
Existence of solutions for nonlinear parabolic systems via weak convergence of truncations.
Existence result for variational degenerated parabolic problems via pseudo-monotonicity.
Higher order nonlinear degenerate elliptic problems with weak monotonicity.
Strongly nonlinear degenerated unilateral problems with data.
Strongly nonlinear degenerated elliptic unilateral problems via convergence of truncations.
Quasilinear elliptic problems with nonstandard growth.
On a necessary condition in the calculus of variations in Orlicz-Sobolev spaces
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 W (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(Ω,ω*) or to L(Ω).
Existence of Solution for Quasilinear Degenerated Elliptic Unilateral Problems
An existence theorem is proved, for a quasilinear degenerated elliptic inequality involving nonlinear operators of the form , where is a Leray-Lions operator from into its dual, while is a nonlinear term which has a growth condition with respect to and no growth with respect to , but it satisfies a sign condition on , the second term belongs to .
On a necessary condition in the calculus of variations in Sobolev spaces with variable exponent
We prove an approximation theorem in generalized Sobolev spaces with variable exponent and we give an application of this approximation result to a necessary condition in the calculus of variations.
Entropy solutions for nonhomogeneous anisotropic problems
We study a class of anisotropic nonlinear elliptic equations with variable exponent p⃗(·) growth. We obtain the existence of entropy solutions by using the truncation technique and some a priori estimates.
Existence of solutions for some quasilinear -elliptic problem with Hardy potential
We consider the anisotropic quasilinear elliptic Dirichlet problem where is an open bounded subset of containing the origin. We show the existence of entropy solution for this equation where the data is assumed to be in and is a positive constant.
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