Eun Heui Kim
We establish the existence of a positive solution for anisotropic singular quasilinear elliptic boundary-value problems. As an example of the problems studied we have
with zero Dirichlet boundary condition, on a bounded convex domain in . Here , and , r are positive constants. When 0< r< 1 (sublinear case), for each positive there exists a positive solution. On the other hand when r>1 (superlinear case), there exists a positive constant such that for in there exists a positive solution, and for < there is no positive solution.
Submitted January 11, 2000. Published February 29, 2000.
Math Subject Classifications: 35J65, 35J70.
Key Words: anisotropic, singular, sublinear, superlinear, elliptic boundary-value problems.
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