The Kramers–Moyal expansion of the master equation that describes human migration in a bounded domain

This study concerns the existence of positive solutions to classes of boundary value problems of the form−∆u = g(x,u), x ∈ Ω,u(x) = 0, x ∈ ∂Ω,where ∆ denote the Laplacian operator, Ω is a smooth bounded domain in RN (N ≥ 2) with ∂Ω of class C2, and connected, and g(x, 0) < 0 for some x ∈ Ω (semipositone problems). By using the method of sub-super solutions we prove the existence of positive solution to special types of g(x,u).

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ZAANGAŻOWANIA KOŚCIOŁA KATOLICKIEGO NA RZECZ MIGRANTÓW – PRZESŁANKI DOKTRYNALNO-PRAWNE

Civitas et Lex ◽

10.31648/cetl.2453 ◽

2017 ◽

Vol 13 (`1) ◽

pp. 49-68

Author(s):

Piotr Wojnicz

Keyword(s):

Pastoral Care ◽

Social Integration ◽

Catholic Church ◽

Local Community ◽

Primary Objective ◽

Human Migration ◽

Religious Orders ◽

Important Thing ◽

History Of ◽

The Catholic Church

The Catholic Church is naturally associated with migrants and its history and doctrine areinextricably linked with the migration of people. Many of the documents of the Catholic Church referto the history of human migration. The responsibility of the Catholic Church for migrants has deephistorical and theological roots. The Catholic Church sees both the positive and the negative sidesof this phenomenon The pastoral care of migrants is a response to the needs of these people. It doesnot replace the territorial structures. They both work closely together and complement each other.The primary objective of the pastoral care of migrants is to enable migrants to integrate with thelocal community. An important element of these structures are religious orders of men and women.The most important thing for migrants is the Christian attitude of the local community tothem. Church repeatedly stressed the importance of hospitality to migrants. Both human andChristian attitude towards migrants expresses itself in a good reception, which is the main factorin overcoming the inevitable difficulties, preventing opposites and solving various problems. Thisattitude helps to alleviate the problems associated with the process of social integration.

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Environmental Stress and Human Migration in a Low-lying Developing Nation: A Comparison of Co-evolving Natural and Human Landscapes in the Physically and Culturally Diverse Context of Bangladesh

10.21236/ada598368 ◽

2013 ◽

Author(s):

Jr Goodbred ◽

Steven L.

Keyword(s):

Environmental Stress ◽

Culturally Diverse ◽

Human Migration ◽

Developing Nation ◽

Diverse Context

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Origin and formation of Yaponesians based on genome sequences

Impact ◽

10.21820/23987073.2020.7.56 ◽

2020 ◽

Vol 2020 (7) ◽

pp. 56-58

Author(s):

Naruya Saitou

Keyword(s):

Population Genetics ◽

Human Migration ◽

Human Populations ◽

Genome Sequences ◽

Japanese Archipelago ◽

Broad Term ◽

The Japanese Archipelago ◽

Ebb And Flow ◽

National Institute Of Genetics

The ebb and flow of human migration across the planet can nowadays be probed with advanced archaeology, linguistics, anthropology and genomics. Together, these can provide a convincing picture of the various divergences and convergences of different human populations across vast areas. It is now possible to better understand how, why and where a particular group or society arose. Professor Naruya Saitou of the Population Genetics Laboratory at the National Institute of Genetics in Mishima has dedicated his career to the synthesis of these disciplines. The current focus of his research is on understanding the origins and formation of the Yaponesian people. This broad term was coined by writer Toshio Shimao in 1960s to encompass the diverse peoples of the Japanese Archipelago over its many thousands of years of inhabitation. Saitou's research is helping to uncover Japan's ancient past.

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Multiple positive solutions for nonlocal elliptic problems involving the Hardy potential and concave–convex nonlinearities

Communications in Contemporary Mathematics ◽

10.1142/s021919972050008x ◽

2020 ◽

pp. 2050008

Author(s):

Shaya Shakerian

Keyword(s):

Variational Methods ◽

Bounded Domain ◽

Positive Solutions ◽

Variational Approach ◽

Nehari Manifold ◽

Multiple Positive Solutions ◽

Hardy Potential ◽

Smooth Bounded Domain ◽

Existence And Multiplicity ◽

The Nehari Manifold

In this paper, we study the existence and multiplicity of solutions for the following fractional problem involving the Hardy potential and concave–convex nonlinearities: [Formula: see text] where [Formula: see text] is a smooth bounded domain in [Formula: see text] containing [Formula: see text] in its interior, and [Formula: see text] with [Formula: see text] which may change sign in [Formula: see text]. We use the variational methods and the Nehari manifold decomposition to prove that this problem has at least two positive solutions for [Formula: see text] sufficiently small. The variational approach requires that [Formula: see text] [Formula: see text] [Formula: see text], and [Formula: see text], the latter being the best fractional Hardy constant on [Formula: see text].

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