Maximum principles and monotonicity of solutions for fractional p-equations in unbounded domains
Journal of Differential Equations, 2021 In this paper, we consider the following non-linear equations in unbounded domains Ω with exterior Dirichlet condition: { ( − Δ ) p s u ( x ) = f ( u ( x ) ) , x ∈ Ω , u ( x ) > 0 , x ∈ Ω , u ( x ) = 0 , x ∈ R n ∖ Ω , where ( − Δ ) p s is the fractional ...
Zhao Liu, Zhao Liu
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Unbounded domains in hierarchically hyperbolic groups [PDF]
Groups, Geometry, and Dynamics, 2020 We investigate unbounded domains in hierarchically hyperbolic groups and obtain constraints on the possible hierarchical structures. Using these insights, we characterise the structures of virtually abelian HHGs and show that the class of HHGs is not ...
Harry Petyt, Davide Spriano
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Nonexpansive mappings defined on unbounded domains
Fixed Point Theory and Applications, 2006 We obtain fixed point theorems for nonexpansive mappings defined on unbounded sets. Our assumptions are weaker than the asymptotically contractive condition recently introduced by Jean-Paul Penot.
W. A. Kirk, A. Kaewcharoen
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Interpolation for synthesis on unbounded domains [PDF]
2013 Formal Methods in Computer-Aided Design, 2013 Synthesis procedures compile relational specifications into functions. In addition to bounded domains, synthesis procedures are applicable to domains such as mathematical integers, where the domain and range of relations and synthesized code is unbounded.
Viktor Kuncak, Regis Blanc
openaire +2 more sources
Rational Spectral Methods for PDEs Involving Fractional Laplacian in Unbounded Domains [PDF]
SIAM Journal on Scientific Computing, 2019 Many PDEs involving fractional Laplacian are naturally set in unbounded domains with underlying solutions decay very slowly, subject to certain power laws. Their numerical solutions are under-explored.
T. Tang +3 more
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Classification and Liouville-type theorems for semilinear elliptic equations in unbounded domains [PDF]
Analysis & PDE, 2019 We classify stable and finite Morse index solutions to general semilinear elliptic equations posed in Euclidean space of dimension at most 10, or in some unbounded domains.
L. Dupaigne, A. Farina
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Fixed Points for Pseudocontractive Mappings on Unbounded Domains
Fixed Point Theory and Applications, 2010 We give some fixed point results for pseudocontractive mappings on nonbounded domains which allow us to obtain generalizations of recent fixed point theorems of Penot, Isac, and Németh. An application to integral equations is given.
E. Llorens-Fuster +1 more
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The Noncommutative Fractional Fourier Law in Bounded and Unbounded Domains [PDF]
Complex Analysis and Operator Theory, 2020 Using the spectral theory on the S-spectrum it is possible to define the fractional powers of a large class of vector operators. This possibility leads to new fractional diffusion and evolution problems that are of particular interest for nonhomogeneous ...
F. Colombo +2 more
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On multipoint resonant problems on the half-line
Boundary Value Problems, 2019 In this work we obtain sufficient conditions for the existence of bounded solutions of a resonant multipoint second-order boundary value problem, with a fully differential equation.
Lucía López-Somoza, Feliz Minhós
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Asymptotically Autonomous Robustness in Probability of Random Attractors for Stochastic Navier-Stokes Equations on Unbounded Poincaré Domains [PDF]
SIAM Journal on Mathematical Analysis, 2022 The asymptotically autonomous robustness of random attractors of stochastic fluid equations defined on \emph{bounded} domains has been considered in the literature.
Renhai Wang, Kush Kinra, M. T. Mohan
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