M. Mihăilescu

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math.AP2007

Neumann problems associated to nonhomogeneous differential operators in Orlicz--Sobolev spaces

Mihai Mihailescu, Vicentiu Radulescu

We study a nonlinear Neumann boundary value problem associated to a nonhomogeneous differential operator. Taking into account the competition between the nonlinearity and the bifur…

math.AP2007

A continuous spectrum for nonhomogeneous differential operators in Orlicz-Sobolev spaces

Mihai Mihailescu, Vicentiu Radulescu

We study the nonlinear eigenvalue problem $- div (a (∣\nabla u ∣) \nabla u) = λ ∣ u ∣^{q (x) - 2} u$ in $Ω$ , $u = 0$ on $\partial Ω$ , where $Ω$ is a bounded open set in $\RR^N$ with smooth bo…

math.AP2007

Continuous spectrum for a class of nonhomogeneous differential operators

Mihai Mihailescu, Vicentiu Radulescu

We study the boundary value problem $- div ((∣\nabla u ∣^{p_{1} (x) - 2} + ∣\nabla u ∣^{p_{2} (x) - 2}) \nabla u) = λ ∣ u ∣^{q (x) - 2} u$ in $Ω$ , $u = 0$ on $\partial Ω$ , where $Ω$ is a bounded domain i…