Results 101 to 110 of about 359,042 (221)
Extensions of Liouville theorems
Journal of Mathematical Analysis and Applications, 1982 AbstractThe method of deriving Liouville's theorem for subharmonic functions in the plane from the corresponding Hadamard three-circles theorem is extended to a more general and abstract setting. Two extensions of Liouville's theorem for vector-valued holomorphic functions of several complex variables are also mentioned.
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, 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
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Fractional-order boundary value problem with Sturm-Liouville boundary conditions
Electronic Journal of Differential Equations, 2015 Using the new conformable fractional derivative, which differs from the Riemann-Liouville and Caputo fractional derivatives, we reformulate the second-order conjugate boundary value problem in this new setting.
Douglas R. Anderson, Richard I. Avery
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On the analytic form of the discrete Kramer sampling theorem
International Journal of Mathematics and Mathematical Sciences, 2001 The classical Kramer sampling theorem is, in the subject of self-adjoint boundary value problems, one of the richest sources to obtain sampling expansions. It has become very fruitful in connection with discrete Sturm-Liouville problems.
Antonio G. García +2 more
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Uniform estimates for positive solutions of a class of semilinear elliptic equations and related Liouville and one-dimensional symmetry results [PDF]
, 2013 We consider the semilinear elliptic equation $\Delta u = W'(u)$ with Dirichlet boundary conditions in a smooth, possibly unbounded, domain $\Omega \subset \mathbb{R}^n$. Under suitable assumptions on the potential $W$, including the double well potential
Sourdis, Christos
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A view on Liouville theorems in PDEs
Analysis and Geometry in Metric SpacesAbstract Our review of Liouville theorems includes a special focus on nonlinear partial differential equations and inequalities.
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Generalizations of the Liouville theorem
Differential Geometry and its Applications, 2008 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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The Liouville theorem for discrete symmetric averaging operators [PDF]
We introduce averaging operators on lattices $\mathbb{Z}^d$ and study the Liouville property for functions satisfying mean value properties associated to such operators.
Llorente, José G., Adamowicz, Tomasz
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A q-fractional approach to the regular Sturm-Liouville problems
Electronic Journal of Differential Equations, 2017 In this article, we study the regular $q$-fractional Sturm-Liouville problems that include the right-sided Caputo q-fractional derivative and the left-sided Riemann-Liouville q-fractional derivative of the same order, $\alpha \in (0,1)$.
Maryam A. AL-Towailb
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