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EXISTENCE RESULTS FOR SINGULAR FRACTIONAL p-KIRCHHOFF PROBLEMS
《Acta Mathematica Scientia》2022年第3期1209-1224,共16页Mingqi XIANG Vicent iu D.RADULESCU Binlin ZHANG 
supported by National Natural Science Foundation of China(11601515);Fundamental Research Funds for the Central Universities(3122017080);the second author acknowledges the support of the Slovenian Research Agency grants P1-0292,J1-8131,N1-0064,N1-0083,N1-0114;the third author was supported by National Natural Science Foundation of China(11871199and 12171152);Shandong Provincial Natural Science Foundation,PR China(ZR2020MA006);Cultivation Project of Young and Innovative Talents in Universities of Shandong Province。
This paper is concerned with the existence and multiplicity of solutions for singular Kirchhoff-type problems involving the fractional p-Laplacian operator.More precisely,we study the following nonlocal problem:{M (∫...
关键词：Fractional Kirchhoff equation singular problems variational and topological methods 
A GENERALIZED PENALTY METHOD FOR DIFFERENTIAL VARIATIONAL-HEMIVARIATIONAL INEQUALITIES
《Acta Mathematica Scientia》2022年第1期247-264,共18页Liang LU Lijie LI Mircea SOFONEA 
supported by the European Union’s Horizon 2020 Research and Innovation Programme under the Marie Sklodowska-Curie Grant Agreement(823731CONMECH);supported by National Natural Science Foundation of China(11671101),supported by National Natural Science Foundation of China(11961074);Guangxi Natural Science Foundation(2021GXNSFAA075022);Project of Guangxi Education Department(2020KY16017);Yulin normal university of scientific research fund for high-level talents(G2019ZK39,G2021ZK06)。
We consider a differential variational-hemivariational inequality with constraints,in the framework of reflexive Banach spaces.The existence of a unique mild solution of the inequality,together with its stability,was ...
关键词：differential variational-hemivariational inequality generalized penalty method Mosco convergence viscoelastic rod unilateral constraint 
EXISTENCE AND CONVERGENCE RESULTS FOR AN ELASTIC FRICTIONAL CONTACT PROBLEM WITH NONMONOTONE SUBDIFFERENTIAL BOUNDARY CONDITIONS
《Acta Mathematica Scientia》2021年第4期1151-1168,共18页Yongjian LIU Stanisiaw MIGÓRSKI Van Thien NGUYEN Shengda ZHENG 
The project supported by the NNSF of China Grants Nos.12001478,12026255,12026256 and 11961074,H2020-MSCA-RISE-2018 Research;Innovation Staff Exchange Scheme Fellowship within the Project No.823731 CONMECH;National Science Center of Poland under Preludium Project No.2017/25/N/ST1/00611;It is also supported by the Startup Project of Doctor Scientific Research of Yulin Normal University No.G2020ZK07;Natural Science Foundation of Guangxi Province Grants Nos.2018GXNSFDA281028 and 2020GXNSFBA297137;the High Level Innovation Team Program from Guangxi Higher Education Institutions of China(Document no.[2018]35).
The goal of this paper is to study a mathematical model of a nonlinear static frictional contact problem in elasticity with the mixed boundary conditions described by a combination of the Signorini unilateral friction...
关键词：Mixed variational-hemi variational inequality H-convergence HOMOGENIZATION Clarke subgradient Lagrange multiplier elasticity operator 
MINIMAL PERIOD SYMMETRIC SOLUTIONS FOR SOME HAMILTONIAN SYSTEMS VIA THE NEHARI MANIFOLD METHOD
《Acta Mathematica Scientia》2020年第3期614-624,共11页ChouhaÏd SOUISSI 
For a given T>0,we prove,under the global ARS-condition and using the Nehari manifold method,the existence of a T-periodic solution having the W-symmetry introduced in[21],for the hamiltonian system z+V'(z)=0,z∈R^N,N...
关键词：HAMILTONIAN VARIATIONAL minimal period Nehari Manifold 
GROUND STATE SOLUTIONS FOR THE CRITICAL KLEIN-GORDON-MAXWELL SYSTEM被引量：1
《Acta Mathematica Scientia》2019年第5期1451-1460,共10页Lixia WANG Xiaoming WANG Luyu ZHANG 
partially supported by the National Natural Science Foundation of China(11801400,11571187);partially supported by the National Natural Science Foundation of China(11861053);the Postdoctoral Science Foundation of China(2017M611159)
In this article,we study the following Klein-Gordon-Maxwell system involving critical exponent■where λ and w are two positive constants.We found the existence of positive ground state solutions(that is,for solutions...
关键词：ground state solution Klein-Gordon-Maxwell system Ekeland's VARIATIONAL principle MOUNTAIN PASS theorem 
VECTORIAL EKELAND VARIATIONAL PRINCIPLE AND CYCLICALLY ANTIMONOTONE EQUILIBRIUM PROBLEMS被引量：1
《Acta Mathematica Scientia》2019年第2期524-544,共21页Jinghui QIU 
supported by the National Natural Science Foundation of China(11471236,11561049)
In this article, we extend the cyclic antimonotonicity from scalar bifunctions to vector bifunctions. We find out a cyclically antimonotone vector bifunction can be regarded as a family of cyclically antimonotone scal...
关键词：EQUILIBRIUM problem: cyclic antimonotonicity vectorial EKELAND VARIATIONAL principle sequentially COMPACT TOPOLOGICAL SPACE countably COMPACT TOPOLOGICAL SPACE 
A VARIATIONAL-HEMIVARIATIONAL INEQUALITY IN CONTACT PROBLEM FOR LOCKING MATERIALS AND NONMONOTONE SLIP DEPENDENT FRICTION
《Acta Mathematica Scientia》2017年第6期1639-1652,共14页Stanistnw MIGORSKI Justyna OGORZALY 
supported by the National Science Center of Poland under the Maestro 3 Project No.DEC-2012/06/A/ST1/00262;the project Polonium“Mathematical and Numerical Analysis for Contact Problems with Friction”2014/15 between the Jagiellonian University and Universitde Perpignan Via Domitia
We study a new class of elliptic variational-hemivariational inequalities arising in the modelling of contact problems for elastic ideally locking materials. The contact is described by the Signorini unilateral contac...
关键词：variational-hemivariational inequality Clarke subdifferential locking material unilateral constraint nonmonotone friction 
SCALAR CURVATURE TYPE PROBLEM ON THE THREE DIMENSIONAL BOUNDED DOMAIN
《Acta Mathematica Scientia》2017年第1期139-173,共35页Mohamed BEN AYED Habib FOURTI 
In this paper we prove an existence result for the nonlinear elliptic problem：-△u = Ku5,u 〉 0 in Ω,u = 0 on Ω,where Ω is a smooth bounded domain of R3 and K is a positive function in Ω.Our method relies on stud...
关键词：scalar-curvature critical point limiting Sobolev exponent variational prob-lems with lack of compactness blow up analysis 
STRONGLY NONLINEAR VARIATIONAL PARABOLIC EQUATIONS WITH p(x)-GROWTH
《Acta Mathematica Scientia》2016年第5期1383-1404,共22页Elhoussine AZROUL Badr LAHMI Ahmed YOUSSFI 
We study the Dirichlet problem associated to strongly nonlinear parabolic equations involving p（x） structure in W;L;（Q）. We prove the existence of weak solutions by applying Galerkin’s approximation method.
关键词：nonlinear parabolic equations EXISTENCE variable exponents weak solution 
GENERALIZED FRACTIONAL TRACE VARIATIONAL IDENTITY AND A NEW FRACTIONAL INTEGRABLE COUPLINGS OF SOLITON HIERARCHY被引量：3
《Acta Mathematica Scientia》2014年第1期53-64,共12页魏含玉 夏铁成 
supported by the National Natural Science Foundation of China(11271008;61072147;11071159);the First-Class Discipline of Universities in Shanghai and the Shanghai University Leading Academic Discipline Project(A13-0101-12-004)
Based on fractional isospectral problems and general bilinear forms, the gener-alized fractional trace identity is presented. Then, a new explicit Lie algebra is introduced for which the new fractional integrable coup...
关键词：generalized fractional trace variational identity fractional integrable couplings soliton hierarchy Hamiltonian structure 
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