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arxiv: 1607.03020 · v3 · pith:KMPV4Q53new · submitted 2016-07-11 · 🧮 math.AP

A non-variational approach to the existence of nonzero positive solutions for elliptic systems

classification 🧮 math.AP
keywords approachellipticexistencenonzeropositiveresultssolutionssystems
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We provide new results on the existence of nonzero positive weak solutions for a class of second order elliptic systems. Our approach relies on a combined use of iterative techniques and classical fixed point index. Some examples are presented to illustrate the theoretical results.

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