Positive solution for a class of coupled [InlineEquation not available: see fulltext.]-Laplacian nonlinear systems
Boundary Value Problems, ISSN: 1687-2770, Vol: 2014, Issue: 1
2014
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Article Description
In this article, we prove the existence of a nontrivial positive solution for the elliptic system (Formula presented.) where (Formula presented.) denotes the p-Laplacian operator, (Formula presented.) and Ω is a smooth bounded domain in (Formula presented.). The weight functions ω and ρ are continuous, nonnegative and not identically null in Ω, and the nonlinearities f and g are continuous and satisfy simple hypotheses of local behavior, without involving monotonicity hypotheses or conditions at ∞. We apply the fixed point theorem in a cone to obtain our result. MSC:35B09, 35J47, 58J20.
Bibliographic Details
http://www.scopus.com/inward/record.url?partnerID=HzOxMe3b&scp=84929171216&origin=inward; http://dx.doi.org/10.1186/1687-2770-2014-21; http://www.scopus.com/inward/record.url?partnerID=HzOxMe3b&scp=84899883853&origin=inward; https://boundaryvalueproblems.springeropen.com/articles/10.1186/1687-2770-2014-21; https://dx.doi.org/10.1186/1687-2770-2014-21
Springer Nature
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