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GENERAL QUASILINEAR PROBLEMS INVOLVING \(p(x)\)-LAPLACIAN WITH ROBIN BOUNDARY CONDITION
Ural Mathematical Journal, 2020 This paper deals with the existence and multiplicity of solutions for a class of quasilinear problems involving \(p(x)\)-Laplace type equation, namely $$ \left\{\begin{array}{lll} -\mathrm{div}\, (a(| \nabla u|^{p(x)})| \nabla u|^{p(x)-2} \nabla u ...
Hassan Belaouidel +2 more
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No-Boundary Proposal as a Path Integral with Robin Boundary Conditions [PDF]
Physical Review Letters, 2019 Realising the no-boundary proposal of Hartle and Hawking as a consistent gravitational path integral has been a long-standing puzzle. In particular, it was demonstrated by Feldbrugge et al. that the sum over all universes starting from zero size results in an unstable saddle point geometry.
Di Tucci, Alice, Lehners, Jean-Luc
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Mathematical Modelling and Analysis, 2017 We consider the eigenvalue problem with Robin boundary condition ∆u + λu = 0 in Ω, ∂u/∂ν + αu = 0 on ∂Ω, where Ω ⊂ Rn , n ≥ 2 is a bounded domain with a smooth boundary, ν is the outward unit normal, α is a real parameter.
Alexey V. Filinovskiy
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Straight Quantum Waveguide with Robin Boundary Conditions [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2007 We investigate spectral properties of a quantum particle confined to an infinite straight planar strip by imposing Robin boundary conditions with variable coupling. Assuming that the coupling function tends to a constant at infinity, we localize the essential spectrum and derive a sufficient condition which guarantees the existence of bound states ...
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Size estimates of unknown boundaries with a Robin-type condition [PDF]
Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 2017 We deal with the problem of determining an unknown part of the boundary of an electrical conductor that is inaccessible for external observation and where a corrosion process is going on. We obtain estimates of the size of this damaged region from above and below.
DI CRISTO, MICHELE +2 more
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Temperature on rods with Robin boundary conditions
Journal of Mathematical Analysis and Applications, 2023 We consider solutions $u_f$ to the one-dimensional Robin problem with the heat source $f\in L^1[-π,π]$ and Robin parameter $α>0$.
Betsakos, Dimitrios, Solynin, Alexander
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Hybrid Method for Inverse Elastic Obstacle Scattering Problems
Mathematics, 2023 The problem of determining the shape of an object from knowledge of the far-field of a single incident wave in two-dimensional elasticity was considered. We applied an iterative hybrid method to tackle this problem. An advantage of this method is that it
Yuhan Yin, Juan Liu
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Extremizing temperature functions of rods with Robin boundary conditions
Annales Fennici Mathematici, 2022 We compare the solutions of two one-dimensional Poisson problems on an interval with Robin boundary conditions, one with given data, and one where the data has been symmetrized. When the Robin parameter is positive and the symmetrization is symmetric decreasing rearrangement, we prove that the solution to the symmetrized problem has larger increasing ...
Langford, Jeffrey J., McDonald, Patrick
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Effect of boundary conditions on the dynamics of a pulsesolution for reaction-diffusion systems
Networks and Heterogeneous Media, 2013 We consider pulse-like localized solutions for reaction-diffusion systems ona half line and impose various boundary conditions at one end of it.It is shown that the movement of a pulse solutionwith the homogeneous Neumann boundary condition is completely
Shin-Ichiro Ei, Toshio Ishimoto
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Hairy black holes in AdS with Robin boundary conditions
Journal of High Energy Physics, 2023 We study hairy black holes in Einstein-Maxwell-complex scalar theory in four-dimensional asymptotically global anti-de Sitter (AdS) spacetime when the Robin boundary conditions are imposed on the scalar field.
Tomohiro Harada +3 more
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