Results 91 to 100 of about 1,963 (215)

Three-circle theorems and Liouville-type theorems

Science China Mathematics
14 ...
Jian, Run-Qiang, Zhang, Zhuhong
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Some Liouville Theorems for the p-Laplacian

Electronic Journal of Differential Equations, 2001
19 ...
BIRINDELLI, Isabella, F. DEMENGEL
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Some Liouville theorems for the p-Laplacian

Electronic Journal of Differential Equations, 2002
In this paper we propose a new proof for non-linear Liouville type results concerning the $p$-Laplacian. Our method differs from the one used by Mitidieri and Pohozaev because it uses a comparison principle that can be applied to nondivergence form ...
Isabeau Birindelli, Francoise Demengel
doaj  

On behavior of solution for delta fractional differences associated with special functions

Alexandria Engineering Journal
In this paper, a general idea of Mittag-Leffler function using discrete fractional of delta-type in the Riemann–Liouville sense is initiated. Asymptotic behavior of solutions associated with the Riemann–Liouville fractional difference is proposed herein ...
Pshtiwan Othman Mohammed, Dumitru Baleanu, Meraa Arab, Majeed Ahmad Yousif, Shrooq Mohammed Azzo, Thabet Abdeljawad   +5 more
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Local estimates and Liouville Theorems for a Class of Quasilinear Inequalities

, 2008
It is well known that the theory of nonlinear partial differential equations is based on a priori estimates of their solutions. These estimates play a fundamental role both in solvability theory and Liouville theorems. When considering evolution problems,
POHOZAEV S., G. Caristi, E. Mitidieri, S. I. Pohozaev, MITIDIERI, ENZO, CARISTI, GABRIELLA   +5 more
core   +1 more source

Liouville type theorems involving fractional order systems

Advanced Nonlinear Studies
In this paper, let α be any real number between 0 and 2, we study the following semi-linear elliptic system involving the fractional Laplacian: (−Δ)α/2u(x)=f(u(x),v(x)),x∈Rn,(−Δ)α/2v(x)=g(u(x),v(x)),x∈Rn. $\begin{cases}{\left(-{\Delta}\right)}^{\alpha /2}
Liao Qiuping, Liu Zhao, Wang Xinyue
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A Survey on Semilinear Differential Equations and Inclusions Involving Riemann-Liouville Fractional Derivative

Advances in Difference Equations, 2009
We establish sufficient conditions for the existence of mild solutions for some densely defined semilinear functional differential equations and inclusions involving the Riemann-Liouville fractional derivative.
Ravi P. Agarwal, Mohammed Belmekki, Mouffak Benchohra   +2 more
doaj   +1 more source

Existence of positive solutions for fractional differential equations with Riemann-Liouville left-hand and right-hand fractional derivatives

Electronic Journal of Differential Equations, 2004
Combining properties of Riemann-Liouville fractional calculus and fixed point theorems, we obtain three existence results of one positive solution and of multiple positive solutions for initial value problems with fractional differential equations.
Shuqin Zhang
doaj  

Positive Solutions of Nonlocal Boundary Value Problem for High-Order Nonlinear Fractional -Difference Equations

Abstract and Applied Analysis, 2013
We study the nonlinear -difference equations of fractional order , , , , , where is the fractional -derivative of the Riemann-Liouville type of order , , , , and .
Changlong Yu, Jufang Wang
doaj   +1 more source

Extensions of Liouville theorems

Journal of Mathematical Analysis and Applications, 1982
AbstractThe method of deriving Liouville's theorem for subharmonic functions in the plane from the corresponding Hadamard three-circles theorem is extended to a more general and abstract setting. Two extensions of Liouville's theorem for vector-valued holomorphic functions of several complex variables are also mentioned.
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