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Existence and multiplicity of solutions for a quasilinear Choquard equation via perturbation method

Journal of Mathematics and Physics, 2018
In this paper, we consider the existence and multiplicity of solutions for the following quasilinear Choquard equation: −Δu+V(x)u−uΔ(u2)=(|x|−μ*|u|p)|u|p−2u,   x∈RN, where N ≥ 3, μ∈(0,N+22), p∈(2,4N−4μN−2).
Xianyong Yang, Wei Zhang, Fukun Zhao
semanticscholar   +1 more source

Teaching Mathematics with Technology: Multiples

The Arithmetic Teacher, 1987
Throughout children's study of mathematics, the concept of multiples and the skills associated with multiples play an important role. Initially, children's love of rhymes such as “two, four, six, eight, meet me at the garden gate” is extended to include skip counting with numbers other than 2.
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Multiplicity and concentration results for a class of critical fractional Schrödinger–Poisson systems via penalization method

Communications in Contemporary Mathematics, 2018
We deal with the multiplicity and concentration of positive solutions for the following fractional Schrödinger–Poisson-type system with critical growth: [Formula: see text] where [Formula: see text] is a small parameter, [Formula: see text], [Formula ...
V. Ambrosio
semanticscholar   +1 more source

Multiple Objectives in Mathematical Programming

Operations Research, 1958
The abstraction from a real situation to a model suitable for mathematical programming often raises the dilemma of multiple objective functions, and of the arbitrary roles of objective functions and restrictions. This dilemma is resolved by formulating a more general model of the total objective function.
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A mathematical approach to multiple genetic relationships

Theoretical Population Biology, 1982
Abstract A fundamental concept in the treatment of genetic relationships is that of gene identity which first was introduced by Cotterman (1940) . Based on this notion several measures of relationship evolved such as the inbreeding coefficient, the coefficient of kinship, and the identity coefficients; by means of these quantities joint and ...
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Global Existence and Multiplicity for Nonlinear Robin Eigenvalue Problems

Results in Mathematics, 2023
Nikolaos S. Papageorgiou   +2 more
semanticscholar   +1 more source

Multiple Objective Mathematical Programming with Respect to Multiple Decision-Makers

Operations Research, 1980
We consider the important problem of obtaining a “majority consensus” among a number of individuals on the solution to a multiple objective optimization problem. When the number of objectives is greater than two, we observe that such a consensus exists-only under strong symmetry conditions.
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Multiple Transforms for Mathematical Physics Courses

American Journal of Physics, 1966
Multiple transforms are used to solve five partial differential equations subject to boundary and initial conditions. The simplifications over single transforms that result are: the reduction of the original equation and boundary relations to a single algebraic equation, the removal of singularities in the transformed time plane (s plane) which do not ...
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Mathematics of a Multiple Omni-Directional System

2003 Conference on Computer Vision and Pattern Recognition Workshop, 2003
We formulate multiple-view geometry for omni-directional and panorama-camera systems. The mathematical formu-lations enable us to derive the geometrical and algebraic constraints for multiple panorama-camera configurations. The constraints permit us to reconstruct three-dimensional objects for a large feasible region.
Akihiko Torii   +2 more
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