Infinitely many solutions for impulsive fractional boundary value problem with p-Laplacian
This paper deals with the existence of infinitely many solutions for a class of impulsive fractional boundary value problems with p-Laplacian. Based on a variant fountain theorem, the existence of infinitely many nontrivial high or small energy solutions
Yang Wang, Yansheng Liu, Yujun Cui
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An elliptic boundary value problem for $G_{2}$ structures [PDF]
We show that the $G_{2}$ holonomy equation on a manifold with boundary, with prescribed 3-form on the boundary, is elliptic. The main point is to set up a suitable linear elliptic boundary value problem. This result leads to a deformation theory.
Donaldson, Simon
core +3 more sources
BELTRAMI EQUATIONS REVISITED: MARCINKIEWICZ EXPONENTS AND PAINLEVE-TYPE THEOREM
We deal with some new results on some types of Beltrami equations. There is a new approach involving the new metric characteristics: the Marcinkiewicz exponents. Another vision is applying the Cauchy-type integral representation to such equations.
Katz D . B .
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New uniqueness results for boundary value problem of fractional differential equation
In this paper, uniqueness results for boundary value problem of fractional differential equation are obtained. Both the Banach's contraction mapping principle and the theory of linear operator are used, and a comparison between the obtained results is ...
Yujun Cui +3 more
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Nonlocal boundary value problems [PDF]
In the last decades, nonlocal boundary value problems have become a rapidly growing area of research. The study of this type of problems is driven not only by a theoretical interest, but also by the fact that several phenomena in engineering, physics and life sciences can be modelled in this way. For example, problems with feedback controls such as the
Franco D, INFANTE, GENNARO, Minhos FM
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Solvability of fractional boundary value problem with p-Laplacian via critical point theory
In this paper, we discuss the fractional boundary value problem containing left and right fractional derivative operators and p-Laplacian. By using critical point theory we obtain some results on the existence of weak solutions of such a fractional ...
Taiyong Chen, Wenbin Liu
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Solutions to a Three-Point Boundary Value Problem
By using the fixed-point index theory and Leggett-Williams fixed-point theorem, we study the existence of multiple solutions to the three-point boundary value problem , ; ; , where , are constants, is a parameter, and , are given ...
Jin Liang, Zhi-Wei Lv
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A finite difference method for a two-point boundary value problem with a Caputo fractional derivative [PDF]
A two-point boundary value problem whose highest order term is a Caputo fractional derivative of order δ∈(1, 2) is considered. Al-Refai's comparison principle is improved and modified to fit our problem.
M. Stynes, J. Gracia
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Existence of solutions for a mixed fractional boundary value problem
In this paper, we prove the existence of solutions for a boundary value problem involving both left Riemann-Liouville and right Caputo-type fractional derivatives.
A. Lakoud, R. Khaldi, Adem Kılıçman
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Boundary-value problem with free boundary: zirconium alloy hydrogenation
One of the most important requirements for the reactor’s active zone materials (made of zirconium alloys) is low hydrogen absorptivity since hydrogen embrittlement may cause zirconium cladding damage.
Yury Zaika, Natalia Rodchenkova
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