共查询到20条相似文献,搜索用时 31 毫秒
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Ke Wu 《Computers & Mathematics with Applications》2018,75(3):755-763
We consider the existence of ground state solutions for the Kirchhoff type problem where , and . Here we are interested in the case that since the existence of ground state for is easily obtained by a standard variational argument. Our method is based on a Pohoaev type identity. 相似文献
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Wenqiang Zhao 《Computers & Mathematics with Applications》2018,75(10):3801-3824
In this article, we use the so-called difference estimate method to investigate the continuity and random dynamics of the non-autonomous stochastic FitzHugh–Nagumo system with a general nonlinearity. Firstly, under weak assumptions on the noise coefficient, we prove the existence of a pullback attractor in by using the tail estimate method and a certain compact embedding on bounded domains. Secondly, although the difference of the first component of solutions possesses at most -times integrability where is the growth exponent of the nonlinearity, we overcome the absence of higher-order integrability and establish the continuity of solutions in with respect to the initial values belonging to . As an application of the result on the continuity, the existence of a pullback attractor in is proved for arbitrary and . 相似文献
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In this work, we are interested in considering the following nonlocal problem where is a smooth bounded domain, and is the critical Sobolev exponent. By using the variational method and the critical point theorem, some existence and multiplicity results are obtained. 相似文献
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In this paper, we consider the following fractional Schrödinger–Poissonproblem where and , the potential is weakly differentiable and . By introducing some new tricks, we prove that the problem admits a ground state solution of Nehari–Pohozaev type under mild assumptions on and . The results here extend the existing study. 相似文献
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In this paper, we consider the blow-up of solutions to a class of quasilinear reaction–diffusion problems where is a bounded convex domain in , weighted nonlocal source satisfies and and are positive constants. By utilizing a differential inequality technique and maximum principles, we establish conditions to guarantee that the solution remains global or blows up in a finite time. Moreover, an upper and a lower bound for blow-up time are derived. Furthermore, two examples are given to illustrate the applications of obtained results. 相似文献
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Hong-Ying Li 《Computers & Mathematics with Applications》2018,75(8):2858-2873
In this work, we are interested in studying the following Kirchhoff type problem where is a smooth bounded domain, is the critical Sobolev exponent, , and with the set of positive measures, and with By the Nehari method and variational method, the existence of positive ground state solutions is obtained. 相似文献
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Global asymptotic stability of steady states in a chemotaxis-growth system with singular sensitivity
Pan Zheng Chunlai Mu Robert Willie Xuegang Hu 《Computers & Mathematics with Applications》2018,75(5):1667-1675
This paper deals with a fully parabolic chemotaxis-growth system with singular sensitivity under homogeneous Neumann boundary conditions in a smooth bounded domain , where the parameters and . Global existence and boundedness of solutions to the above system were established under some suitable conditions by Zhao and Zheng (2017). The main aim of this paper is further to show the large time behavior of global solutions which cannot be derived in the previous work. 相似文献
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Soon-Yeong Chung 《Computers & Mathematics with Applications》2018,75(8):2915-2924
In this paper, we discuss and answer the following dichotomy problems: Let be a network and be a discrete -Laplace operator with .(i) If are functions satisfying then either on or in .(ii) If are functions satisfying then either on or in .We believe that this work is not only interesting in itself, but also gives a clue to solve the problems defined on the continuous domain. 相似文献
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Zujin Zhang 《Computers & Mathematics with Applications》2018,75(3):1038-1043
In this paper, we consider the blow-up criterion for the quasi-geostrophic equations with dissipation (). By establishing a new trilinear estimate, we show that if for some , then the solution can be extended smoothly past . This improves and extends the corresponding results in Dong and Pavlovi? (2009) ([32]) and Yuan (2010). 相似文献