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...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 approach and the nonsmooth critical point theory, we obtain the existence of a nontrivial solution.展开更多
The penalty function method, presented many years ago, is an important nu- merical method for the mathematical programming problems. In this article, we propose a dual-relax penalty function approach, which is signifi...The penalty function method, presented many years ago, is an important nu- merical method for the mathematical programming problems. In this article, we propose a dual-relax penalty function approach, which is significantly different from penalty func- tion approach existing for solving the bilevel programming, to solve the nonlinear bilevel programming with linear lower level problem. Our algorithm will redound to the error analysis for computing an approximate solution to the bilevel programming. The error estimate is obtained among the optimal objective function value of the dual-relax penalty problem and of the original bilevel programming problem. An example is illustrated to show the feasibility of the proposed approach.展开更多
Naturally deposited or residual soils exhibit more complicated behavior than remolded clays. A dual-surface damage model for structured soils is developed based on the thermodynamics framework established in our first...Naturally deposited or residual soils exhibit more complicated behavior than remolded clays. A dual-surface damage model for structured soils is developed based on the thermodynamics framework established in our first paper. The shift stresses and the transformation between the generalized dissipative stress space and actual stress space are established following a systematic procedure. The corresponding constitutive behavior of the proposed model is determined, which reflects the internal structural configuration and damage behavior for geomaterials. Four evolution variables κj^i（i=D, R;j=V, S） and the basic parameters λ, s, v and e0 are introduced to account for the progressive loss of internal structure for natural clays. A series of fully triaxial tests and isotropic compression tests are performed for structured and reconstituted samples of Beijing and Zhengzhou natural clays. The validation of the proposed model is examined by comparing the numerical results with the experimental data.展开更多
The task-based approach has been gaining more and more popularity in recent years. Unlike the traditional language teaching approach, which puts much emphasis on the teaching and learning of language forms and skills,...The task-based approach has been gaining more and more popularity in recent years. Unlike the traditional language teaching approach, which puts much emphasis on the teaching and learning of language forms and skills, it regards the language process as one of learning through doing, emphasizes the central role of meaning in language use and insists that students should learn more effectively if they are fully engaged in a language task. However, due to the lack of an appropriate language environment and limited time for English study, Chinese students may not make as much progress as expected in the unconscious internalization of authentic language by focusing primarily on meaning. In fact the meaning of a language can not be separated from its form. The accurate expression of meaning depends on the proper use of language form. Therefore, in the application of the taskbased approach, we should not neglect the study of language form. This paper analyses the causes for Chinese students' low spoken English proficiency, describes the theoretical foundation and actual practice of the task-based approach, discusses its implications for teaching oral English and makes some proposals for its appropriate application.展开更多
基金supported partially by National Natural Science Foundation of China(11771385,11661083)the Youth Foundation of Yunnan Minzu University(2017QNo3)
文摘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 approach and the nonsmooth critical point theory, we obtain the existence of a nontrivial solution.
基金supported by the National Science Foundation of China (70771080)Social Science Foundation of Ministry of Education (10YJC630233)
文摘The penalty function method, presented many years ago, is an important nu- merical method for the mathematical programming problems. In this article, we propose a dual-relax penalty function approach, which is significantly different from penalty func- tion approach existing for solving the bilevel programming, to solve the nonlinear bilevel programming with linear lower level problem. Our algorithm will redound to the error analysis for computing an approximate solution to the bilevel programming. The error estimate is obtained among the optimal objective function value of the dual-relax penalty problem and of the original bilevel programming problem. An example is illustrated to show the feasibility of the proposed approach.
基金the Major Research of the National Natural Science Foundation of China(No.90715035)HI-Tech Research and Development Program of China(Code 2007AA11Z132).
文摘Naturally deposited or residual soils exhibit more complicated behavior than remolded clays. A dual-surface damage model for structured soils is developed based on the thermodynamics framework established in our first paper. The shift stresses and the transformation between the generalized dissipative stress space and actual stress space are established following a systematic procedure. The corresponding constitutive behavior of the proposed model is determined, which reflects the internal structural configuration and damage behavior for geomaterials. Four evolution variables κj^i（i=D, R;j=V, S） and the basic parameters λ, s, v and e0 are introduced to account for the progressive loss of internal structure for natural clays. A series of fully triaxial tests and isotropic compression tests are performed for structured and reconstituted samples of Beijing and Zhengzhou natural clays. The validation of the proposed model is examined by comparing the numerical results with the experimental data.
文摘The task-based approach has been gaining more and more popularity in recent years. Unlike the traditional language teaching approach, which puts much emphasis on the teaching and learning of language forms and skills, it regards the language process as one of learning through doing, emphasizes the central role of meaning in language use and insists that students should learn more effectively if they are fully engaged in a language task. However, due to the lack of an appropriate language environment and limited time for English study, Chinese students may not make as much progress as expected in the unconscious internalization of authentic language by focusing primarily on meaning. In fact the meaning of a language can not be separated from its form. The accurate expression of meaning depends on the proper use of language form. Therefore, in the application of the taskbased approach, we should not neglect the study of language form. This paper analyses the causes for Chinese students' low spoken English proficiency, describes the theoretical foundation and actual practice of the task-based approach, discusses its implications for teaching oral English and makes some proposals for its appropriate application.
