Results 31 to 40 of about 7,045,461 (221)
A Liouville type theorem for a class of anisotropic equations
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2016 In this paper we are dealing with entire solutions of a general class of anisotropic equations. Under some appropriate conditions on the data, we show that the corresponding equations cannot have non-trivial positive solutions bounded from above.
Barbu Luminiţa, Enache Cristian
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Reconstruction of the Volterra-type integro-differential operator from nodal points
Boundary Value Problems, 2018 In this work, the Sturm–Liouville problem perturbated by a Volterra-type integro-differential operator is studied. We give a uniqueness theorem and an algorithm to reconstruct the potential of the problem from nodal points (zeros of eigenfunctions).
Baki Keskin
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Boundary Value Problems, 2020 By using the Caputo type and the Riemann–Liouville type fractional q-derivative, we investigate the existence of solutions for a multi-term pointwise defined fractional q-integro-differential equation with some boundary value conditions. In fact, we give
Shahram Rezapour, Mohammad Esmael Samei
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Uncertain fractional forward difference equations for Riemann–Liouville type
Advances in Difference Equations, 2019 To model complex systems with discrete-time features and memory effects in the uncertain environment, a definition of an uncertain fractional forward difference equation with Riemann–Liouville-like forward difference is introduced.
Qinyun Lu, Yuanguo Zhu, Ziqiang Lu
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Three-circle theorems and Liouville-type theorems
Science China Mathematics14 ...
Jian, Run-Qiang, Zhang, Zhuhong
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Robustness for a Liouville Type Theorem in Exterior Domains [PDF]
Journal of Dynamics and Differential Equations, 2014 We are interested in the robustness of a Liouville type theorem for a reaction diffusion equation in exterior domains. Indeed H. Berestycki, F. Hamel and H. Matano (2009) proved such a result as soon as the domain satisfies some geometric properties. We investigate here whether their result holds for perturbations of the domain.
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Boundary asymptotics of the ergodic functions associated with fully nonlinear operators through a liouville type theorem [PDF]
, 2021 We prove gradient boundary blow up rates for ergodic functions in bounded domains related to fully nonlinear degenerate/singular elliptic operators. As a consequence, we deduce the uniqueness, up to constants, of the ergodic functions.
Leoni F., Birindelli I., Demengel F.
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Boundary Value ProblemsWe establish a Liouville-type theorem for a weighted higher-order elliptic system in a wider exponent region described via a critical curve. We first establish a Liouville-type theorem to the involved integral system and then prove the equivalence ...
Weiwei Zhao +3 more
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Liouville-Type Theorem for Nonlinear Elliptic Equations Involving Generalized Greiner Operator
Mathematics, 2022 In this paper, we study the Liouville-type behaviors of the generalized Greiner operators with nonlinear boundary value conditions. We use the technique based upon the method of moving planes.
Wei Shi
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Front Propagation Through a Perforated Wall
Communications on Pure and Applied Mathematics, EarlyView.ABSTRACT We consider a bistable reaction– diffusion equation ut=Δu+f(u)$u_t=\Delta u +f(u)$ on RN${\mathbb {R}}^N$ in the presence of an obstacle K$K$, which is a wall of infinite span with many holes. More precisely, K$K$ is a closed subset of RN${\mathbb {R}}^N$ with smooth boundary such that its projection onto the x1$x_1$‐axis is bounded and that ...
Henri Berestycki +2 more
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