共查询到20条相似文献,搜索用时 31 毫秒
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We explicitly determine generators of cyclic codes over a non-Galois finite chain ring of length , where p is a prime number and k is a positive integer. We completely classify that there are three types of principal ideals of and four types of non-principal ideals of , which are associated with cyclic codes over of length . We then obtain a mass formula for cyclic codes over of length . 相似文献
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We prove the existence of solutions to the nonlinear Schrödinger equation in with a magnetic potential . Here V represents the electric potential, the index p is greater than 1. Along some sequence tending to zero we exhibit complex-value solutions that concentrate along some closed curves. 相似文献
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Zhouxin Li 《Journal of Differential Equations》2019,266(11):7264-7290
We prove the existence of positive solutions of the following singular quasilinear Schrödinger equations at critical growth via variational methods, where , , , , . It is interesting that we do not need to add a weight function to control . 相似文献
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In this paper, we study the existence and concentration behavior of minimizers for , here and where and are constants. By the Gagliardo–Nirenberg inequality, we get the sharp existence of global constraint minimizers of for when , and . For the case , we prove that the global constraint minimizers of behave like for some when c is large, where is, up to translations, the unique positive solution of in and , and . 相似文献
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Daniel Núñez-Alarcón Daniel Pellegrino Diana Serrano-Rodríguez 《Journal of Mathematical Analysis and Applications》2022,505(2):125520
The Orlicz -mixed inequality states that for all bilinear forms and all positive integers n, where denotes or endowed with the supremum norm. In this paper we extend this inequality to multilinear forms, with endowed with norms for all . 相似文献
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In this work we give a characterization of Galois Linear Complementary Dual codes and Galois-invariant codes over mixed alphabets of finite chain rings, which leads to the study of the Gray image of -linear codes, where and that provides LCD codes over . 相似文献
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Duc Quang Si 《Journal of Mathematical Analysis and Applications》2021,493(2):124542
Let M be a complete Kähler manifold, whose universal covering is biholomorphic to a ball in (). Our purpose of this article is to establish a non-integrated defect relation with truncated level for a meromorphic mapping on M intersecting a family of hyperplanes in which is non-subdegenerate with respect to the mapping. 相似文献
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We show that the construction of Gabor frames in with generators in and with respect to time-frequency shifts from a rectangular lattice is equivalent to the construction of certain Gabor frames for over the adeles over the rationals and the group . Furthermore, we detail the connection between the construction of Gabor frames on the adeles and on with the construction of certain Heisenberg modules. 相似文献
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The notion of multiple Ore extension is introduced as a natural generalization of Ore extensions and double Ore extensions. For a PBW-deformation of type quantum group, we explicitly obtain the commutation relations of its root vectors, then show that it can be realized via a series of multiple Ore extensions, which we call a ladder Ore extension of type . Moreover, we analyze the quantum algebras with of type , and and give some examples and counterexamples that can be realized by a ladder Ore extension. 相似文献
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In this paper, we investigate the existence of multiple radial sign-changing solutions with the nodal characterization for a class of Kirchhoff type problems where , are radial and bounded away from below by positive numbers. Under some weak assumptions on , by taking advantage of the Gersgorin disc's theorem and Miranda theorem, we develop some new analytic techniques and prove that this problem admits infinitely many nodal solutions having a prescribed number of nodes k, whose energy is strictly increasing in k. Moreover, the asymptotic behaviors of as are established. These results improve and generalize the previous results in the literature. 相似文献
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We are concerned with the following singularly perturbed Gross–Pitaevskii equation describing Bose–Einstein condensation of trapped dipolar quantum gases: where ε is a small positive parameter, , ? denotes the convolution, and is the angle between the dipole axis determined by and the vector x. Under certain assumptions on , we construct a family of positive solutions which concentrates around the local minima of V as . Our main results extend the results in J. Byeon and L. Jeanjean (2007) [6], which dealt with singularly perturbed Schrödinger equations with a local nonlinearity, to the nonlocal Gross–Pitaevskii type equation. 相似文献
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This paper studies the asymptotic behavior of smooth solutions to the generalized Hall-magneto-hydrodynamics system (1.1) with one single diffusion on the whole space . We establish that, in the inviscid resistive case, the energy vanishes and converges to a constant as time tends to infinity provided the velocity is bounded in ; in the viscous non-resistive case, the energy vanishes and converges to a constant provided the magnetic field is bounded in . In summary, one single diffusion, being as weak as or with small enough , is sufficient to prevent asymptotic energy oscillations for certain smooth solutions to the system. 相似文献
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The existence of global attractors is proved for the MHD equations with damping terms and on a bounded domain . First we establish the well-posedness of strong solutions. Then, the continuity of the corresponding semigroup is verified under the assumption , which is guided by Gagliardo-Nirenberg inequality. Finally, the system is shown to possess an -global attractor and an -global attractor. 相似文献