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Applicable Analysis
An International Journal
Volume 97, 2018 - Issue 8: Mathematical Contact Mechanics
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Articles

Inclusion problems via subsolution–supersolution method with applications to hemivariational inequalities

Zhenhai LiuGuangxi Key Laboratory of Universities Optimization Control, Guangxi University for Nationalities, Nanning, China.View further author information
&
Dumitru MotreanuDepartment of Mathematics, University of Perpignan, Perpignan, France.Correspondence[email protected]
View further author information
Pages 1454-1465 | Received 29 Mar 2017, Accepted 18 Nov 2017, Published online: 29 Nov 2017

References

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  • Faria LFO, Miyagaki OH, Motreanu D, et al. Existence results for nonlinear elliptic equations with Leray-Lions operator and dependence on the gradient. Nonlinear Anal. 2014;96:154–166.
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  • Tanaka M. Existence of a positive solution for quasilinear elliptic equations with a nonlinearity including the gradient. Bound Value Probl. 2013;173:11 pp.
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  • Kamenskii M, Obukhovskii V, Zecca P. Condensing multivalued maps and semilinear differential inclusions in Banach spaces. Berlin: Walter de Gruyter & Co.; 2001.
  • Motreanu D, Motreanu VV, Papageorgiou NS. Topological and variational methods with applications to nonlinear boundary value problems. New York (NY): Springer; 2014.
  • Clarke FH. Optimization and nonsmooth analysis. New York (NY): Wiley; 1983.

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