On the structure of solutions to a class of quasilinear elliptic Neumann problems
Journal of Differential Equations, ISSN: 0022-0396, Vol: 212, Issue: 1, Page: 208-233
2005
- 9Citations
- 29Usage
- 3Captures
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Example: if you select the 1-year option for an article published in 2019 and a metric category shows 90%, that means that the article or review is performing better than 90% of the other articles/reviews published in that journal in 2019. If you select the 3-year option for the same article published in 2019 and the metric category shows 90%, that means that the article or review is performing better than 90% of the other articles/reviews published in that journal in 2019, 2018 and 2017.
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Metrics Details
- Citations9
- Citation Indexes9
- CrossRef6
- Usage29
- Abstract Views29
- Captures3
- Readers3
Article Description
We study the structure of positive solutions to the equation ɛmΔmu -um-1+fu=0 with homogeneous Neumann boundary condition. First, we show the existence of a mountain-pass solution and find that as ɛ→0+ the mountain-pass solution develops into a spike-layer solution. Second, we prove that there is an uniform upper bound independent of ɛ for any positive solution to our problem. We also present a Harnack-type inequality for the positive solutions. Finally, we show that if 1
Bibliographic Details
http://www.sciencedirect.com/science/article/pii/S0022039604003237; http://dx.doi.org/10.1016/j.jde.2004.07.021; http://www.scopus.com/inward/record.url?partnerID=HzOxMe3b&scp=15444365930&origin=inward; http://www.ncbi.nlm.nih.gov/pubmed/20700388; https://linkinghub.elsevier.com/retrieve/pii/S0022039604003237; https://corescholar.libraries.wright.edu/math/70; https://corescholar.libraries.wright.edu/cgi/viewcontent.cgi?article=1071&context=math; https://corescholar.libraries.wright.edu/math/105; https://corescholar.libraries.wright.edu/cgi/viewcontent.cgi?article=1106&context=math; http://www.sciencedirect.com/science/article/pii/S0022039604003237?via=ihub; http://www.sciencedirect.com/science/article/pii/S0022039604003237?via%3Dihub; http://linkinghub.elsevier.com/retrieve/pii/S0022039604003237; http://linkinghub.elsevier.com/retrieve/articleSelectSinglePerm?Redirect=http://www.sciencedirect.com/science/article/pii/S0022039604003237?via%3Dihub
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