Nonlinear Differential Equations,
Electron. J. Diff. Eqns., Conf. 05, 2000, pp. 301-308.

### An elliptic problem with arbitrarily small positive solutions Pierpaolo Omari & Fabio Zanolin

Abstract:
We show that for each , the problem
in ,
on
has a sequence of positive solutions with decreasing to zero. We assume that and that , where . We stress that no condition on the sign of is imposed.

Published October 13, 2000.
Math Subject Classifications: 35J65, 34B15, 34C25, 47H15.
Key Words: Quasilinear elliptic equation, positive solution, upper and lower solutions, time-mapping estimates.

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Pierpaolo Omari
Dipartimento di Scienze Matematiche
Universita, Piazzale Europa 1
I-34127 Trieste, Italy
e-mail: omari@univ.trieste.it

Fabio Zanolin
Dipartimento di Matematica e Informatica
Universita, Via delle Scienze 206
I--33100 Udine, Italy
e-mail: zanolin@dimi.uniud.it