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On the univalent, bounded, non-vanishing and symmetric functions in the unit disk

100%

Śladkowska J.

Annales Polonici Mathematici

1996

tom 64

nr 3

291-299

The paper is devoted to a class of functions analytic, univalent, bounded and non-vanishing in the unit disk and in addition, symmetric with respect to the real axis. Variational formulas are derived and, as applications, estimates are given of the first and second coefficients in the considered class of functions.

Discontinuous quasilinear elliptic problems at resonance

63%

Kourogenis N. C., Papageorgiou N. S.

Colloquium Mathematicum

1998

tom 78

nr 2

213-223

In this paper we study a quasilinear resonant problem with discontinuous right hand side. To develop an existence theory we pass to a multivalued version of the problem, by filling in the gaps at the discontinuity points. We prove the existence of a nontrivial solution using a variational approach based on the critical point theory of nonsmooth locally Lipschitz functionals.

Ograniczanie wyników

1 Annales Polonici Mathematici

1 Colloquium Mathematicum

1 Kourogenis N. C.

1 Papageorgiou N. S.

1 Śladkowska J.

1 1998

1 1996

Wyniki wyszukiwania

On the univalent, bounded, non-vanishing and symmetric functions in the unit disk

Discontinuous quasilinear elliptic problems at resonance