On the existence of positive solutions for a class of non–selfadjoint elliptic boundary value problems

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 infinity

Keywords:

• Positive solutions
• non-selfadjoint
• elliptic boundary value problems
• weighted eigenvalue problems
• sub'supersolutions

AMS(MOS):

• 35J25
• 47H15

^*Research partially supported by CNPq/Brasil

Research partially supported by CNPq/Brasil

^*Research partially supported by CNPq/Brasil

Research partially supported by CNPq/Brasil

Notes

^*Research partially supported by CNPq/Brasil

Research partially supported by CNPq/Brasil