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### Open Access Journals

CPAA

We consider asymptotic shape of a solution for a semilinear elliptic
equation in dimensions 3 or over, by using singular perturbation
technique.
The equations arise in the Plasma Problem.
The solution is obtained as a global minimizer of some energy
functional. Precisely energy estimates and uniqueness of a
solution for limiting problem gives information about asymptotic shape
of a solution.

keywords:
Singular perturbations.

CPAA

We study the asymptotic behavior of the ground state for a class of
quasilinear Schrödinger equations with general nonlinearities.
By the variational argument and dual approach,
we show the asymptotic non-degeneracy and uniqueness of the ground state.

## Year of publication

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