分析理論與應用

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分析理論與應用 關注(): 期刊周期：季刊; 期刊級別：省級; 國內統一刊號：32-1631/O1; 國際標準刊號：1672-4070; 主辦單位：南京大學; 主管單位：教育部; 上一本期雜志：經濟數學數學科研情況; 下一本期雜志：建筑科學建筑施工技術雜志

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　　分析理論與應用最新期刊目錄

Diffusion with a Discontinuous Potential: a Non-Linear Semigroup Approach

摘要：This paper studies existence of mild solution to a sharp cut off model for contact driven tumor growth. Analysis is based on application of the Crandall-Liggett theorem for ω-quasi-contractive semigro...

Index Iteration Theory for Brake Orbit Type Solutions and Applications

摘要：In this paper, we give a survey on the index iteration theory of an index theory for brake orbit type solutions and its applications in the study of brake orbit problems including the Seifert conjectu...

Ground States to the Generalized Nonlinear Schr?dinger Equations with Bernstein Symbols

摘要：This paper concerns with existence and qualitative properties of ground states to generalized nonlinear Schr?dinger equations（gNLS） with abstract symbols.Under some structural assumptions on the symbo...

Deformation Argument under PSP Condition and Applications

摘要：In this paper we introduce a new deformation argument, in which C⁰-group action and a new type of Palais-Smale condition PSP play important roles. This type of deformation results are studi...

Multiple Sign-Changing Solutions for Quasilinear Equations of Bounded Quasilinearity

摘要：The existence of an infinite sequence of sign-changing solutions are proved for a class of quasilinear elliptic equations under suitable conditions on the quasilinear coefficients and the nonlinearity...

Classification of Positive Ground State Solutions with Different Morse Indices for Nonlinear N-Coupled Schr?dinger System

摘要：In this paper, we study the following N-coupled nonlinear Schr?dinger system ■where n ≤ 3, N ≥ 3, μ_j> 0, β_i,j= β_j,i> 0 are constants and βj,j= μj, j = 1, ···, N....

Keplerian Action, Convexity Optimization, and the 4-Body Problem

摘要：In this paper we introduce a method to construct periodic solutions for the n-body problem with only boundary and topological constraints. Our approach is based on some novel features of the Keplerian...

Singular Functions and Characterizations of Field Concentrations: a Survey

摘要：In the presence of closely located inclusions of the extreme material property, the physical fields, such as the electric field and the stress tensor, may be concentrated and arbitrarily large in the ...

Gradient Estimates of Solutions to the Conductivity Problem with Flatter Insulators

摘要：We study the insulated conductivity problem with inclusions embedded in a bounded domain in Rⁿ. When the distance of inclusions, denoted by ε, goes to 0, the gradient of solutions may blow ...

Preface Special Issue Dedicated to Professor Paul H. Rabinowitz’s 80th Birthday

摘要：<正>The conference Calculus of Variations—A celebration of Paul Rabinowitz’s 80th birthday was held during Oct. 31-Nov. 2, 2019 at UniHotel Jeju, Korea. The conference was dedicated to Professor ...

Shadowing Homoclinic Chains to a Symplectic Critical Manifold

摘要：We prove the existence of trajectories shadowing chains of heteroclinic orbits to a symplectic normally hyperbolic critical manifold of a Hamiltonian system.The results are quite different for real an...

Completion of ■² with a Conformal Metric as a Closed Surface

摘要：In this paper, we obtain some asymptotic behavior results for solutions to the prescribed Gaussian curvature equation. Moreover, we prove that under a conformal metric in ■², if the total G...

Hill-Type Formula and Krein-Type Trace Formula for Hamiltonian Systems

摘要：In this paper, we give a survey on the Hill-type formula and its applications.Moreover, we generalize the Hill-type formula for linear Hamiltonian systems and Sturm-Liouville systems with any self-adj...

Local Well-Posedness for the Compressible Nematic Liquid Crystals Flow with Vacuum

摘要：In this paper we prove the local well-posedness of strong solutions to the compressible nematic liquid crystals flow with vacuum in a bounded domain Ω ? ■³

The Non-Degeneracy of Harmonic Structures on Planar Sierpinski Gaskets

摘要：We present a direct and short proof of the non-degeneracy of the harmonic structures on the level-n Sierpinski gaskets for any n ≥ 2, which was conjectured by Hino in [1, 2] and confirmed to be true b...

Author Index to Volume 36

摘要：<正>~

A Note on Card(X)

摘要：The main interests here are to study the relationship between card(X) and card(■(X)) and the connection between the separability of a space X and cardinality of some function space on it. We will conv...

Hausdorff Dimension of a Class of Weierstrass Functions

摘要：It was proved by Shen that the graph of the classical Weierstrass function ∑_n^∞=₀λⁿcos（2πbⁿx） has Hausdorff dimension 2 + log λ/log b, for every i...

A Survey on Some Anisotropic Hardy-Type Function Spaces

摘要：Let A be a general expansive matrix on ■ⁿ. The aims of this article are twofold. The first one is to give a survey on the recent developments of anisotropic Hardy-type function spaces on ■<...

Lipschitz Invariance of Critical Exponents on Besov Spaces

摘要：In this paper we prove that the critical exponents of Besov spaces on a compact set possessing an Ahlfors regular measure is an invariant under Lipschitz transforms. Under mild conditions, the critica...

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分析理論與應用