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Lyapunov-type inequalities for quasilinear elliptic equations with Robin boundary condition [PDF]
Journal of Inequalities and Applications, 2017 The aim of this study is to prove Lyapunov-type inequalities for a quasilinear elliptic equation in R 2 $\mathbb{R}^{2}$ . Also the lower bound for the first positive eigenvalue of the boundary value problem is obtained.
Ülkü Dinlemez Kantar, Tülay Özden
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Particle Creation by a Moving Boundary with Robin Boundary Condition [PDF]
Journal of Physics A: Mathematical and General, 2006 We consider a massless scalar field in 1+1 dimensions satisfying a Robin boundary condition (BC) at a non-relativistic moving boundary. We derive a Bogoliubov transformation between input and output bosonic field operators, which allows us to calculate ...
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Maximal regularity for non-autonomous Robin boundary conditions [PDF]
Mathematische Nachrichten, 2015 We consider a non-autonomous Cauchy problem involving linear operators associated with time-dependent forms $a(t;.,.):V\times V\to {\mathbb{C}}$ where $V$ and $H$ are Hilbert spaces such that $V$ is continuously embedded in $H$.
Arendt, Wolfgang, Monniaux, Sylvie
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Free Boundary Cluster with Robin Condition on the Transmission Interface
Calculus of Variations and Partial Differential Equations, 2023 We formulate and study a variational two-phase free boundary problem with Robin condition on the interface between the two phases, and we prove existence and regularity of solutions in dimension ...
Domenico Angelo La Manna +2 more
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Resonant (p,q)-equations with Robin boundary condition
Electronic Journal of Differential Equations, 2018 We consider a nonlinear nonhomogeneous Robin problem that has the sum of a p-Laplacian and a q-Laplacian (a (p,q)-equation). The reaction term is a Caratheodory function which is resonant at $\pm\infty$ with respect to any nonprincipal variational ...
Michael E. Filippakis +1 more
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The Bilaplacian with Robin Boundary Conditions [PDF]
SIAM Journal on Mathematical Analysis, 2022 We introduce Robin boundary conditions for biharmonic operators, which are a model for elastically supported plates and are closely related to the study of spaces of traces of Sobolev functions. We study the dependence of the operator, its eigenvalues, and eigenfunctions on the Robin parameters. We show in particular that when the parameters go to plus
Davide Buoso, James B. Kennedy
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Application of a Robin boundary condition to surface waves
Frontiers in Marine Science, 2023 Surface effects on deep-water gravity waves are investigated theoretically by the application of a Robin boundary condition with a complex Robin parameter, R=Rr+iRi.
Kai Håkon Christensen +2 more
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Mathematics, 2023 Cell migration in a biological medium towards a blood vessel is modeled, as a random process, sucessively inside an annulus (two-dimensional domain) and an annular cylinder (three-dimensional domain).
Hélia Serrano +1 more
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A Variational Formulation for Fins with Nonzero Contact Thermal Resistance at the Base
Axioms, 2023 This paper considers the steady-state heat transfer process in a fin with a Robin boundary condition at the base (instead of the usual Dirichlet boundary condition at the base). Robin boundary condition models the effect of the thermal resistance between
Rogério Martins Saldanha da Gama +3 more
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Singularly perturbed robin type boundary value problems with discontinuous source term in geophysical fluid dynamics [PDF]
Iranian Journal of Numerical Analysis and Optimization, 2021 Singularly perturbed robin type boundary value problems with discontinuous source terms applicable in geophysical fluid are considered. Due to the discontinuity, interior layers appear in the solution.
B.M. Abagero, G.F. Duressa, H.G. Debela
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