Results 31 to 40 of about 19,748 (189)

Liouville-type theorems for fractional Hardy–Hénon systems

Nonlinear Differential Equations and Applications NoDEA, 2023
AbstractIn this paper, we study Liouville-type theorems for fractional Hardy–Hénon elliptic systems with weights. Because the weights are singular at zero, we firstly prove that classical solutions for systems in $${\mathbb {R}}^N \backslash \{0\}$$ R
Kui Li, Yisen Meng, Zhitao Zhang
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Weighted ${L^p}$-Liouville Theorems for Hypoelliptic Partial Differential Operators on Lie Groups

, 2015
We prove weighted $L^p$-Liouville theorems for a class of second order hypoelliptic partial differential operators $\mathcal{L}$ on Lie groups $\mathbb{G}$ whose underlying manifold is $n$-dimensional space.
Bonfiglioli, Andrea, Kogoj, Alessia E.
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Lp - Liouville theorems for invariant evolution equations

Bruno Pini Mathematical Analysis Seminar, 2014
Some Liouville-type theorems in Lebesgue spaces for several classes of evolution equations are presented. The involved operators are left invariant with respect to Lie group composition laws. Results for both solutions and sub-solutions are given.
Alessia E. Kogoj
doaj   +1 more source

Fractional isoperimetric Noether's theorem in the Riemann-Liouville sense

, 2013
We prove Noether-type theorems for fractional isoperimetric variational problems with Riemann-Liouville derivatives. Both Lagrangian and Hamiltonian formulations are obtained. Illustrative examples, in the fractional context of the calculus of variations,
Almeida, Almeida, Atanacković, Atanacković, Baleanu, Bartosiewicz, Chen, Delfim F.M. Torres, El-Nabulsi, Ferreira, Frederico, Frederico, Frederico, Frederico, Gastão S.F. Frederico, Gelfand, Herzallah, Hilfer, Jafari, Kilbas, Kiryakova, Kiryakova, Klimek, Leitmann, Malinowska, Malinowska, Malinowska, Martins, Odzijewicz, Odzijewicz, Podlubny, Pooseh, Pooseh, Riewe, Riewe, Torres, Torres, Torres, Torres, van Brunt   +39 more
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Oscillatory Behavior of a Type of Generalized Proportional Fractional Differential Equations with Forcing and Damping Terms

Mathematics, 2020
In this paper, we study the oscillatory behavior of solutions for a type of generalized proportional fractional differential equations with forcing and damping terms.
Jehad Alzabut, James Viji, Velu Muthulakshmi, Weerawat Sudsutad   +3 more
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Three-circle theorems and Liouville-type theorems

Science China Mathematics
14 ...
Jian, Run-Qiang, Zhang, Zhuhong
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Liouville type theorem for Fractional Laplacian system

Communications on Pure and Applied Analysis, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Liouville-type theorems for the Navier–Stokes equations [PDF]

Russian Mathematical Surveys, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Seregin, G. A., Shilkin, T. N.
openaire   +2 more sources

Proportionality of components, Liouville theorems and a priori estimates for noncooperative elliptic systems

, 2013
We study qualitative properties of positive solutions of noncooperative, possibly nonvariational, elliptic systems. We obtain new classification and Liouville type theorems in the whole Euclidean space, as well as in half-spaces, and deduce a priori ...
Montaru, Alexandre, Sirakov, Boyan, Souplet, Philippe   +2 more
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On a Coupled System of Fractional Differential Equations via the Generalized Proportional Fractional Derivatives

Journal of Function Spaces, 2022
This work investigates the existence and uniqueness of solutions for a coupled system of fractional differential equations with three-point generalized fractional integral boundary conditions within generalized proportional fractional derivatives of the ...
M. I. Abbas, M. Ghaderi, Sh. Rezapour, S. T. M. Thabet   +3 more
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