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

Vy Khoi Le

Displaying similar documents to “Generic existence result for an eigenvalue problem with rapidly growing principal operator”

On a nonlinear eigenvalue problem in Sobolev spaces with variable exponent.

Dinu, Teodora-Liliana (2005)

Sibirskie Ehlektronnye Matematicheskie Izvestiya [electronic only]

Similarity:

Multiple solutions for quasilinear elliptic Neumann problems in Orlicz-Sobolev spaces.

Halidias, Nikolaos, Le, Vy K. (2005)

Boundary Value Problems [electronic only]

Similarity:

Strongly nonlinear problem of infinite order with $L^{1}$ data.

Benkirane, A., Chrif, M., El Manouni, S. (2009)

Electronic Journal of Qualitative Theory of Differential Equations [electronic only]

Similarity:

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

Similarity:

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 $\partial Ω$ , 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.