NONSMOOTH

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A NONSMOOTH THEORY FOR A LOGARITHMIC ELLIPTIC EQUATION WITH SINGULAR NONLINEARITY被引量：1
《Acta Mathematica Scientia》2022年第2期502-510,共9页Chunyu LEI Jiafeng LIAO Changmu CHU Hongmin SUO 
supported by Natural Science Foundation of Guizhou Minzu University(20185773-YB03);supported by Fundamental Research Funds of China West Normal University(18B015);Innovative Research Team of China West Normal University(CXTD2018-8);supported by National Natural Science Foundation of China(11861021);supported by National Natural Science Foundation of China(11661021)。
We consider the logarithmic elliptic equation with singular nonlinearity {Δu+ulogu^(2)+λ/u^(γ)=0,in Ω,u>0,in Ω,u=0,on δΩ,where Ω⊂R^(N)(N≥3)is a bounded domain with a smooth boundary,0<γ<1 andλis a positive ...
关键词：Logarithmic elliptic equation singular nonlinearity positive solutions variational method 
ON APPROXIMATE EFFICIENCY FOR NONSMOOTH ROBUST VECTOR OPTIMIZATION PROBLEMS
《Acta Mathematica Scientia》2020年第3期887-902,共16页Tadeusz ANTCZAK Yogendra PANDEY Vinay SINGH Shashi Kant MISHRA 
The research of Yogendra Pandey and Vinay Singh are supported by the Science and Engineering Research Board,a statutory body of the Department of Science and Technology(DST),Government of India,through file no.PDF/2016/001113 and SCIENCE&ENGINEERING RESEARCH BOARD(SERB-DST)through project reference no.EMR/2016/002756,respectively.
In this article,we use the robust optimization approach(also called the worst-case approach)for findingε-efficient solutions of the robust multiobjective optimization problem defined as a robust(worst-case)counterpar...
关键词：Robust optimization approach robust multiobjective optimization ε-efficient solution ε-optimality conditions SCALARIZATION 
A NONTRIVIAL SOLUTION OF A QUASILINEAR ELLIPTIC EQUATION VIA DUAL APPROACH被引量：1
《Acta Mathematica Scientia》2019年第2期580-596,共17页Xianyong YANG Wei ZHANG Fukun ZHAO 
supported partially by National Natural Science Foundation of China(11771385,11661083);the Youth Foundation of Yunnan Minzu University(2017QNo3)
In this article, we are concerned with the existence of solutions of a quasilinear elliptic equation in R^N which includes the so-called modified nonlinear Schrodinger equation as a special case. Combining the dual ap...
关键词：nontrivial solution QUASILINEAR ELLIPTIC equation NONSMOOTH critical point theory DUAL APPROACH 
OPTIMALITY CONDITIONS AND DUALITY RESULTS FOR NONSMOOTH VECTOR OPTIMIZATION PROBLEMS WITH THE MULTIPLE INTERVAL-VALUED OBJECTIVE FUNCTION被引量：4
《Acta Mathematica Scientia》2017年第4期1133-1150,共18页Tadeusz ANTCZAK 
In this paper, both Fritz John and Karush-Kuhn-Tucker necessary optimality conditions are established for a （weakly） LU-efficient solution in the considered nonsmooth multiobjective programming problem with the mult...
关键词：nonsmooth multiobjective programming problem with the multiple interval- objective function Fritz John necessary optimality conditions Karush-Kuhn- Tucker necessary optimality conditions （weakly） LU-efficient solution Mond- Weir duality 
NONSMOOTH CRITICAL POINT THEOREMS AND ITS APPLICATIONS TO QUASILINEAR SCHRDINGER EQUATIONS被引量：5
《Acta Mathematica Scientia》2016年第1期73-86,共14页李周欣 沈尧天 
supported by NSF of China(11201488),supported by NSF of China(11371146);Hunan Provincial Natural Science Foundation of China(14JJ4002)
In this paper, the existence and nonexistence of solutions to a class of quasilinear elliptic equations with nonsmooth functionals are discussed, and the results obtained are applied to quasilinear SchrSdinger equatio...
关键词：nonsmooth critical point theorems quasilinear elliptic equations SchrSdingerequation 
MULTIPLE SOLUTIONS FOR NONAUTONOMOUS SECOND ORDER PERIODIC SYSTEMS被引量：1
《Acta Mathematica Scientia》2010年第1期350-358,共9页Zdzislaw Denkowski Leszek Gasiński Nikolaos S.Papageorgiou 
supported by the State Committee for Scientific Research of Poland (KBN) under research grants nr 2 P03A 003 25 and nr 4T07A 027 26
We study nonautonomonus second order periodic systems with a nonslnooth potential. Using the nonsmooth critical theory, we establish the existence of at least two nontrivial solutions. Our framework incorporates large...
关键词：locally Lipschitz potential generalized subdifferentiM coercive functional critical point local linking theorem nonsmooth Palais-Smale condition multiple nontrivial solutions 
SEMILINEAR HEMIVARIATIONAL INEQUALITIES WITH STRONG RESONANCE AT INFINITY
《Acta Mathematica Scientia》2006年第1期59-73,共15页Michael Filippakis Leszek Gasi■ski Nikolaos S.Papageorgiou 
Research is supported by a grant of the National Scholarship Foundation of Greece (I.K.Y.)
A semilinear elliptic equation with strong resonance at infinity and with a nonsmooth potential is studied. Using nonsmooth critical point theory and developing some abstract minimax principles which complement and ex...
关键词：Strong resonance hemivariational inequality LAPLACIAN principal eigenvalue locally Lipschitz function Clarke subdifferential nonsmooth criticalpoint theory 
THE L^2-BOUNDEDNESS OF PSEUDODIFFERENTIAL OPERATORS WITH NONSMOOTH COEFFICIENT SYMBOLS
《Acta Mathematica Scientia》1989年第1期1-5,共5页李得宁 
Project supported by the Science Fund of the Chinese Academy of Sciences.
1. Introduction In application of nonlinear boundary value problems, it is sometimes important to know that L~2-boundedness of a class of pseudo-differential operators with symbols whioh have nonsmooth coefficients. I...
关键词：TH THE L~2-BOUNDEDNESS OF PSEUDODIFFERENTIAL OPERATORS WITH NONSMOOTH COEFFICIENT SYMBOLS 
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