caa a22 4500 606166025 CHVBK 20210128100656.0 cr unu---uuuuu 210128e20150801xx s 000 0 eng 10.1007/s10440-014-9961-5 doi (NATIONALLICENCE)springer-10.1007/s10440-014-9961-5 Elliptic Hemivariational Inequalities with Nonhomogeneous Neumann Boundary Conditions and Their Applications to Static Frictional Contact Problems [Elektronische Daten] [Yong Huang, Zhenhai Liu, Stanislaw Migórski] This paper is devoted to the existence of solutions for variational-hemivariational inequalities of elliptic type with nonhomogeneous Neumann boundary conditions at resonance as well as at nonresonance. Using the notion of Clarke's generalized gradient and the property of the first eigenfunction, we also build a Landesman-Lazer theory in the nonsmooth framework of variational-hemivariational inequalities of elliptic type. An application to a static frictional contact problem is provided. Springer Science+Business Media Dordrecht, 2014 Boundary elliptic hemivariational inequality nationallicence Generalized Clarke subdifferential nationallicence Pseudomonotone operator nationallicence Existence of solutions nationallicence Frictional contact problem nationallicence Huang Yong Department of Mathematics, Baise University, 533000, Baise, Guangxi Province, P.R. China aut Liu Zhenhai Guangxi Key Laboratory of Universities Optimization Control and Engineering Calculation, and College of Sciences, Guangxi University for Nationalities, 530006, Nanning, Guangxi Province, P.R. China aut Migórski Stanislaw Jagiellonian University, Faculty of Mathematics and Computer Science, Institute of Computer Science, ul. Lojasiewicza 6, 30-348, Krakow, Poland aut Acta Applicandae Mathematicae Springer Netherlands 138/1(2015-08-01), 153-170 0167-8019 138:1<153 2015 138 10440 https://doi.org/10.1007/s10440-014-9961-5 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s10440-014-9961-5 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Huang Yong Department of Mathematics, Baise University, 533000, Baise, Guangxi Province, P.R. China aut NATIONALLICENCE 700 1- Liu Zhenhai Guangxi Key Laboratory of Universities Optimization Control and Engineering Calculation, and College of Sciences, Guangxi University for Nationalities, 530006, Nanning, Guangxi Province, P.R. China aut NATIONALLICENCE 700 1- Migórski Stanislaw Jagiellonian University, Faculty of Mathematics and Computer Science, Institute of Computer Science, ul. Lojasiewicza 6, 30-348, Krakow, Poland aut NATIONALLICENCE 773 0- Acta Applicandae Mathematicae Springer Netherlands 138/1(2015-08-01), 153-170 0167-8019 138:1<153 2015 138 10440