Valencia Catholic University Saint Vincent Martyr

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20032007

most citedNonlinear problems with boundary blow-up: a Karamata regular variation theory approach

81 citations

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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…

math.AP2005★ 81 cited

Nonlinear problems with boundary blow-up: a Karamata regular variation theory approach

Florica Corina Cirstea, Vicentiu Radulescu

We study the uniqueness and expansion properties of the positive solution of the logistic equation $Δ u + a u = b (x) f (u)$ in a smooth bounded domain $Ω$ , subject to the singular boundary…