Results 81 to 90 of about 24,283 (189)

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
doaj   +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
doaj   +1 more source

Liouville type theorems for $\varphi$-subharmonic functions

Revista Matemática Iberoamericana, 2001
In this paper we presents some Liouville type theorems for solutions of differential inequalities involving the \varphi -Laplacian. Our results in particular improve and generalize known results for the Laplacian and the
Rigoli M., Setti A. G.
openaire   +4 more sources

Gradient estimate and a Liouville theorem for a $p$-Laplacian evolution equation with a gradient nonlinearity

, 2014
In this paper, we establish a local gradient estimate for a $p$-Lpalacian equation with a fast growing gradient nonlinearity. With this estimate, we can prove a parabolic Liouville theorem for ancient solutions satisfying some growth restriction near ...
Attouchi, Amal
core   +1 more source

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

Integrable nonlinear equations and Liouville's theorem, I [PDF]

Communications in Mathematical Physics, 1981
A symplectic structure is constructed and the Liouville integration carried out for a stationary Lax equation [L, P]=0, whereL is a scalar differential operator of an arbitrary order.nth order operators are included into the variety of first-order matrix operators, and properties of this inclusion are studied.
openaire   +5 more sources

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

Positive solutions for a class of singular boundary-value problems

Electronic Journal of Differential Equations, 2006
This paper concerns the existence and multiplicity of positive solutions for Sturm-Liouville boundary-value problems. We use fixed point theorems and the sub-super solutions method to two solutions to the problem studied.
Dang Dinh Hai
doaj