On the existence of positive solutions for a class of non–selfadjoint elliptic boundary value problems
- 1 January 1989
- journal article
- research article
- Published by Taylor & Francis in Applicable Analysis
- Vol. 31 (4) , 309-320
- https://doi.org/10.1080/00036818908839833
Abstract
We consider a class of non-selfadjoint el1iptic boundary value problems on a bounded domain. Combining results on weighted eigenvalue problems for non-selfadjoint operators with a general form 0f the method of sub-supersolutions we prove existence of a positive solution provided that the nonlinearity f(x,u) satisfies a suitable "crossing condition" when u varies from zero to infinityKeywords
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