$$L^p_{loc}$$ 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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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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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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Positive solutions for fractional differential equations with variable coefficients
Electronic Journal of Differential Equations, 2012 In this article, we study the existence of the positive solutions for a class of differential equations of fractional order with variable coefficients.
Yi Chen, Zhanmei Lv
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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.
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A generalization of Gordon's theorem and applications to quasiperiodic Schrodinger operators
Electronic Journal of Differential Equations, 2000 We present a criterion for absence of eigenvalues for one-dimensional Schrodinger operators. This criterion can be regarded as an L^1-version of Gordon's theorem and it has a broader range of application.
David Damanik, Gunter Stolz
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New adaptive memory stochastic fractional operators and their applications in computational intelligence. [PDF]
Sci RepKhan TU, Al-Juaid BS, Markarian C.
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Symplectic Structures on the Space of Space Curves. [PDF]
J Nonlinear SciBauer M, Ishida S, Michor PW.
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