Results 131 to 140 of about 7,152,101 (256)
International Journal of Differential Equations, 2010 We consider the existence and uniqueness of positive solution to nonzero boundary values problem for a coupled system of fractional differential equations. The differential operator is taken in the standard Riemann-Liouville sense.
Jinhua Wang, Hongjun Xiang, Zhigang Liu
doaj +1 more source
Liouville type theorems for the Euler and the Navier–Stokes equations
Advances in Mathematics, 2011 15 ...
openaire +3 more sources
A general Liouville-type theorem for the 3D steady-state Magnetic-Bénard system [PDF]
We establish a Liouville-type theorem for the elliptic and incompressible Magnetic-Bénard system defined over the entire three-dimensional space. Specifically, we demonstrate the uniqueness of trivial solutions under the condition that they belong to ...
Jarrin, Oscar
core +1 more source
Ambarzumyan-type theorem for vectorial Sturm-Liouville operator with impulses
, 2023 We consider the vector-impulsive Sturm-Liouville problem with Neumann conditions. The Ambarzumyan$^{\textbf{,}}$s theorem for the problem is proved, which states that if the eigenvalues of the problem coincide with those of the zero potential, then the ...
Yang, Chuan-Fu, Wang, Feng
core
An application of a global bifurcation theorem to the existence of solutions for integral inclusions
Electronic Journal of Differential Equations, 2008 We prove the existence of solutions to Hammerstein integral inclusions of weakly completely continuous type. As a consequence we obtain an existence theorem for differential inclusions, with Sturm-Liouville boundary conditions, $$displaylines{ u''
Stanislaw Domachowski
doaj
A Liouville theorem for conformal Gaussian curvature type equations in $${{\mathbb{R}}^2}$$
, 2011 In this paper, we obtain a Liouville type theorem for a class of elliptic equations including the conformal Gaussian curvature equation... We notice that all these previous studies require that K(x) has a fixed sign near infinity or K(x) decays to 0 at ...
Yihong Du, Ma, Li, Li Ma, Du, Yihong
core +1 more source
Integral inequalities and theorems of Liouville type
Journal of Mathematical Analysis and Applications, 1969 Throughout this paper x = (x1 ,... , x,) denotes a point of real Euclidean space En, r = / x [ is the distance to the origin, and F and P > 0 are continuous functions of r, 0 < r < co. We use dr and da for the volume and surface elements of integration respectively, while a, is the area of the surface of the unit n-ball in E”.
openaire +1 more source
The sharp exponent for a Liouville-type theorem for an elliptic inequality
, 2002 We determine the sharp exponent for a Liouville-type theorem for an elliptic inequality. This answers a question raised in [1] which is related to a conjecture by De Giorgi [5]
GAZZOLA, FILIPPO
core
On nonnegative entire solutions of second-order semilinear elliptic systems
Electronic Journal of Differential Equations, 2003 We consider the second-order semilinear elliptic system $$ Delta u_i=P_i(x)u_{i+1}^{alpha_i}quadhbox{in }mathbb{R}^N, quad i=1,2,dots,m $$ with nonnegative continuous functions $P_i$.
Tomomitsu Teramoto
doaj
The Liouville theorem on H-type groups
In this paper we obtain a Liouville type theorem to the semilinear subcritical elliptic equation on H-type groups. The semilinear subcritical elliptic equation studied in this paper is a generalization of a classical semilinear subcritical elliptic equation on the Heisenberg group.
Li, Chuanyang +2 more
openaire +2 more sources