Existence, comparison, and compactness results for quasilinear variational-hemivariational inequalities
International Journal of Mathematics and Mathematical Sciences, ISSN: 0161-1712, Vol: 2005, Issue: 3, Page: 401-417
2005
- 13Citations
- 64Usage
- 3Captures
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Metrics Details
- Citations13
- Citation Indexes13
- 13
- CrossRef10
- Usage64
- Downloads50
- Abstract Views14
- Captures3
- Readers3
Article Description
We consider quasilinear elliptic variational-hemivariational inequalities involving the indicator function of some closed convex set and a locally Lipschitz functional. We provide a generalization of the fundamental notion of sub- and supersolutions, on the basis of which we then develop the sub-supersolution method for variational-hemivariational inequalities, including existence, comparison, compactness, and extremality results. Copyright © 2005 Hindawi Publishing Corporation.
Bibliographic Details
http://scholarsmine.mst.edu/math_stat_facwork/669; https://scholarsmine.mst.edu/math_stat_facwork/669; http://scholarsmine.mst.edu/faculty_work/1882
http://www.scopus.com/inward/record.url?partnerID=HzOxMe3b&scp=22244470084&origin=inward; http://dx.doi.org/10.1155/ijmms.2005.401; http://www.hindawi.com/journals/ijmms/2005/947314/abs/; http://downloads.hindawi.com/journals/ijmms/2005/947314.pdf; https://onlinelibrary.wiley.com/doi/10.1155/IJMMS.2005.401; http://scholarsmine.mst.edu/math_stat_facwork/669; http://scholarsmine.mst.edu/cgi/viewcontent.cgi?article=1668&context=math_stat_facwork; https://scholarsmine.mst.edu/math_stat_facwork/669; https://scholarsmine.mst.edu/cgi/viewcontent.cgi?article=1668&context=math_stat_facwork; http://scholarsmine.mst.edu/faculty_work/1882; http://scholarsmine.mst.edu/cgi/viewcontent.cgi?article=2881&context=faculty_work; https://www.airitilibrary.com/Article/Detail/P20161024001-200512-201612120020-201612120020-401-417-027; https://dx.doi.org/10.1155/ijmms.2005.401; https://www.hindawi.com/journals/ijmms/2005/947314/; https://downloads.hindawi.com/journals/ijmms/2005/947314.pdf; https://www.hindawi.com/journals/ijmms/2005/947314/abs/
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