T. Dinu

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math.AP2005

Entire solutions of Schrödinger elliptic systems with discontinuous nonlinearity and sign-changing potential

Teodora Liliana Dinu

We establish the existence of an entire solution for a class of stationary Schrödinger systems with subcritical discontinuous nonlinearities and lower bounded potentials that blow-…

math.AP2005

Entire solutions of multivalued nonlinear Schrodinger equations in Sobolev spaces with variable exponent

Teodora Liliana Dinu

We establish the existence of an entire solution for a class of stationary Schrödinger equations with subcritical discontinuous nonlinearity and lower bounded potential that blows-…

math.AP2005

Entire solutions of sublinear elliptic equations in anisotropic media

Teodora Liliana Dinu

We study the nonlinear elliptic problem $- Δ u = ρ (x) f (u)$ in $\RR^N$ ( $N \geq 3$ ), $\lim\_{|x|\ri\infty}u(x)=\ell$, where $ℓ \geq 0$ is a real number, $ρ (x)$ is a nonnegative potenti…

math.AP2005

On a nonlinear eigenvalue problem in Sobolev spaces with variable exponent

Teodora Liliana Dinu

We consider a class of nonlinear Dirichlet problems involving the $p (x)$ --Laplace operator. Our framework is based on the theory of Sobolev spaces with variable exponent and we est…

math.AP2005

Entire positive solutions of the singular Emden-Fowler equation with nonlinear gradient term

Teodora Liliana Dinu

Let $p$ and $q$ be locally Hölder functions in $\RR^N$, $p > 0$ and $q \geq 0$ . We study the Emden-Fowler equation $- Δ u + q (x) ∣\nabla u ∣^{a} = p (x) u^{- γ}$ in $\RR^N$, where $a$ and $γ$ are…

math.AP2005

Entire solutions of the nonlinear eigenvalue logistic problem with sign-changing potential and absorbtion

Teodora Liliana Dinu

We are concerned with positive solutions decaying to zero at infinity for the logistic equation $- Δ u = λ (V (x) u - f (u))$ in $\RR^N$, where $V (x)$ is a variable potential that may change…