Results 131 to 140 of about 29,180 (228)
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”.
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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, $$displaylines{ u''
Stanislaw Domachowski
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$$L^p_{loc}$$ Positivity Preservation and Liouville-Type Theorems
The Journal of Geometric AnalysisAbstractOn a complete Riemannian manifold (M, g), we consider$$L^{p}_{loc}$$Llocpdistributional solutions of the differential inequality$$-\Delta u + \lambda u \ge 0$$-Δu+λu≥0with$$\lambda >0$$λ>0a locally bounded function that may decay to 0 at infinity.
Bisterzo, A, Farina, A, Pigola, S
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On nonnegative entire solutions of second-order semilinear elliptic systems
Electronic Journal of Differential Equations, 2003 We consider the second-order semilinear elliptic system $$ 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
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Second-order
Advances in Difference Equations, 2006 We discuss conditions for the existence of at least one positive solution to a nonlinear second-order Sturm-Liouville-type multipoint eigenvalue problem on time scales.
Ma Ruyun, Anderson Douglas R
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Generalizations of the Liouville theorem
, 2008 The purpose of this paper is to generalize the Liouville theorem for functions which are defined on the complete Riemannian manifolds. Then, we apply it to the isometric immersions between complete Riemannian manifolds in order to obtain an estimate for ...
Ranjbar-Motlagh, Alireza
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Existence of Positive Solutions for a Class of
Advances in Difference Equations, 2008 This paper investigates the existence of positive solutions for a class of second-order singular -point Sturm-Liouville-type boundary value problems by using fixed point theorem in cones.
Zhang Xuemei, Ge Weigao
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The study of fundamental theorems in functional analysis often highlights deep interconnections between results that, at first glance, may appear independent.
Sette, Robledo
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A New Proof of a Liouville-Type Theorem for Polyharmonic Functions
Real Analysis Exchange, 2005 The author gives simple proofs of Pizetti's formula and as a corollary, the Liouville theorem for polyharmonic functions.
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The Malgrange-Ehrenpreis Theorem
, 2012 This paper collect of some proofs of the Malgrange-Ehrenpreis Theorem, which asserts the existence of fundamental solutions of linear partial differential operator with constant coefficients.Ribera Puchades, JM. (2011).
Ribera Puchades, Juan Miguel
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