Abstract
This work is devoted to the study of the elliptic equation Δu = f(x, u) in an exterior non-smooth domain. Applying the method of upper and lower solutions and a diagonal argument, we prove the existence of solutions under various boundary conditions.
Received: 2004-09
Published Online: 2007-02-21
Published in Print: 2007-01-29
© Walter de Gruyter
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Articles in the same Issue
- Solving Abstract Cauchy Problems with closable operators in reflexive spaces via resolvent-free approximation
- Chain transitive sets for flows on flag bundles
- A Burgess-like subconvex bound for twisted L-functions
- On recurrence in zero dimensional flows
- Solutions of nonlinear elliptic equations in unbounded Lipschitz domains
- π∗(L2T(1)/(v1)) and its applications in computing π∗(L2T(1)) at the prime two
- A proof of the Livingston conjecture
- Expectations of hook products on large partitions and the chi-square distribution