Displaying similar documents to “Strongly nonlinear problem of infinite order with L 1 data.”

Generic existence result for an eigenvalue problem with rapidly growing principal operator

Vy Khoi Le (2004)

ESAIM: Control, Optimisation and Calculus of Variations

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We consider the eigenvalue problem - div ( a ( | u | ) u ) = λ g ( x , u ) in Ω u = 0 on Ω , in the case where the principal operator has rapid growth. By using a variational approach, we show that under certain conditions, almost all λ > 0 are eigenvalues.

Orlicz capacities and applications to some existence questions for elliptic PDEs having measure data

Alberto Fiorenza, Alain Prignet (2003)

ESAIM: Control, Optimisation and Calculus of Variations

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We study the sequence u n , which is solution of - div ( a ( x , 𝔻 u n ) ) + Φ ' ' ( | u n | ) u n = f n + g n in Ω an open bounded set of 𝐑 N and u n = 0 on Ω , when f n tends to a measure concentrated on a set of null Orlicz-capacity. We consider the relation between this capacity and the N -function Φ , and prove a non-existence result.