In this paper we investigate the global attractors for the one-dimensional linear model of thermodiffusion with second sound. Using the method of contractive functions, we obtain the asymptotically compact of the semi...In this paper we investigate the global attractors for the one-dimensional linear model of thermodiffusion with second sound. Using the method of contractive functions, we obtain the asymptotically compact of the semigroup and the existence of the global展开更多
In this article, an elliptic system is investigated, which involves Hardy-type potentials, critical Sobolev-type nonlinearities, and critical Hardy-Sobolev-type nonlinearities. By a variational global-compactness argu...In this article, an elliptic system is investigated, which involves Hardy-type potentials, critical Sobolev-type nonlinearities, and critical Hardy-Sobolev-type nonlinearities. By a variational global-compactness argument, the Palais-Smale sequences of related approximation problems is analyzed and the existence of infinitely many solutions to the system is established.展开更多
The 2030 Agenda for Sustainable Development explicitly and specifically includes migration in the global development agenda for the first time, and establishes relevant targets, including promoting regular migration a...The 2030 Agenda for Sustainable Development explicitly and specifically includes migration in the global development agenda for the first time, and establishes relevant targets, including promoting regular migration and protecting the rights of migrant workers. These targets are significant achievements of the United Nations in promoting the topic “Migration and Development” and strengthening the human rights-based global migration governance.However, there are many difficulties in achieving these targets, especially when the rights of regular and irregular migration are undermining national sovereignty and security, or are not in line with national development needs. With the continued spread of the CoVID-19pandemic, rising tensions among major powers, and the prevalence of populism and anti-foreigner sentiment in the West, the process of migration and development has been seriously influenced, and the divergent positions and conflicting interests of countries have pushed the migration targets further out of reach. However, in the long run,exploration in this area will help promote global economic recovery in the post-pandemic era and benefit all parties from the positive interactions of migration, development, and human rights.展开更多
In this paper we establish some theorems which are concerned with the equivalent norms of Sobolev spaces on a Riemannian manifold. Using the theorems we prove the existence of global attractors for the initial value p...In this paper we establish some theorems which are concerned with the equivalent norms of Sobolev spaces on a Riemannian manifold. Using the theorems we prove the existence of global attractors for the initial value problem of Cahn-Hilliard equations. The estimates of the upper bounds of Hausdorff and fractal dimensions for the global attractors are also obtained.展开更多
基金Supported by the NNSF of China(11031003,11271066)Supported by the Shanghai Education Commission(13ZZ048)
文摘In this paper we investigate the global attractors for the one-dimensional linear model of thermodiffusion with second sound. Using the method of contractive functions, we obtain the asymptotically compact of the semigroup and the existence of the global
基金supported by the Science Foundation of State Ethnic Affairs Commission of the People's Republic of China(12ZNZ004)
文摘In this article, an elliptic system is investigated, which involves Hardy-type potentials, critical Sobolev-type nonlinearities, and critical Hardy-Sobolev-type nonlinearities. By a variational global-compactness argument, the Palais-Smale sequences of related approximation problems is analyzed and the existence of infinitely many solutions to the system is established.
文摘The 2030 Agenda for Sustainable Development explicitly and specifically includes migration in the global development agenda for the first time, and establishes relevant targets, including promoting regular migration and protecting the rights of migrant workers. These targets are significant achievements of the United Nations in promoting the topic “Migration and Development” and strengthening the human rights-based global migration governance.However, there are many difficulties in achieving these targets, especially when the rights of regular and irregular migration are undermining national sovereignty and security, or are not in line with national development needs. With the continued spread of the CoVID-19pandemic, rising tensions among major powers, and the prevalence of populism and anti-foreigner sentiment in the West, the process of migration and development has been seriously influenced, and the divergent positions and conflicting interests of countries have pushed the migration targets further out of reach. However, in the long run,exploration in this area will help promote global economic recovery in the post-pandemic era and benefit all parties from the positive interactions of migration, development, and human rights.
文摘In this paper we establish some theorems which are concerned with the equivalent norms of Sobolev spaces on a Riemannian manifold. Using the theorems we prove the existence of global attractors for the initial value problem of Cahn-Hilliard equations. The estimates of the upper bounds of Hausdorff and fractal dimensions for the global attractors are also obtained.
