Abstract We investigate the Bi-Laplacian with Wentzell boundary conditions in a bounded
domain Ω ⊆ R^ d Ω⊆ R d with Lipschitz boundary Γ Γ. More precisely, using form methods …

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We study a climatologically important interaction of two of the main components of the
geophysical system by adding an energy balance model for the averaged atmospheric …

Abstract Let Ω⊆ R 2 be an open domain with fractal boundary∂ Ω. We define a proper,
convex and lower semicontinuous functional on the space X 2 (Ω,∂ Ω):= L 2 (Ω, dx)× L 2 (∂ …

Existence of nodal (ie, sign changing) solutions and constant-sign solutions for quasilinear
elliptic equations involving convection–absorption terms are presented. A location principle …

Over 40 years ago, M. Budyko and W. Sellers independently introduced low-order climate
models that continue to play an important role in the mathematical modeling of climate. Each …

We study a quasi-linear evolution equation with nonlinear dynamical boundary conditions in
a two dimensional domain with Koch-type fractal boundary. We consider suitable …

Wentzell (or dynamic) boundary conditions model the interchange of free energy between
the boundary and the interior of a physical system, which classical boundary conditions like …

We consider a coupled model surface-deep ocean effect, where an Energy Balance Model
(EBM) is used for modelling the surface temperature and a two-dimensional heat equation …

Abstract Let p∈ C 0, 1 (Ω¯) be such that 1< p⁎⩽ p⁎<∞, let Ω⊆ RN be a bounded W 1, p (⋅)-
extension domain, and let μ be an upper d-Ahlfors measure supported on∂ Ω with d∈(N …