Results 21 to 30 of about 4,288,813 (291)

Nonlinear Elliptic Boundary Value Problems at Resonance with Nonlinear Wentzell Boundary Conditions [PDF]

open access: yesAdvances in Mathematical Physics, 2017
Given a bounded domain Ω⊂RN with a Lipschitz boundary ∂Ω and p,q∈(1,+∞), we consider the quasilinear elliptic equation -Δpu+α1u=f in Ω complemented with the generalized Wentzell-Robin type boundary conditions of the form bx∇up-2∂nu-ρbxΔq,Γu+α2u=g on ∂Ω.
Ciprian G. Gal, Mahamadi Warma
openaire   +3 more sources

A free boundary problem for the p-Laplacian with nonlinear boundary conditions

open access: yesAnnali di Matematica Pura ed Applicata (1923 -), 2023
AbstractWe study a nonlinear generalization of a free boundary problem that arises in the context of thermal insulation. We consider two open sets $$\Omega \subseteq A$$ Ω ⊆ A , and we search for an optimal A in order to minimize a ...
Acampora P., Cristoforoni E.
openaire   +3 more sources

A nonlinear second order problem with a nonlocal boundary condition

open access: yesAbstract and Applied Analysis, 2006
We study a nonlinear problem of pendulum-type for a p-Laplacian with nonlinear periodic-type boundary conditions. Using an extension of Mawhin's continuation theorem for nonlinear operators, we prove the existence of a solution under a Landesman-Lazer ...
P. Amster, P. De Nápoli
doaj   +2 more sources

First-Order Boundary Value Problem with Nonlinear Boundary Condition on Time Scales

open access: yesDiscrete Dynamics in Nature and Society, 2011
This work is concerned with the following first-order dynamic equation on time scale ,  xΔ(t)+p(t)x(σ(t))=f(t,x(t)),  t∈[0,T]𝕋 with the nonlinear boundary condition x(0)=g(x(σ(T))).
Ya-Hong Zhao
doaj   +1 more source

Smoothing for Nonlinear Parabolic Equations with Nonlinear Boundary Conditions

open access: yesJournal of Mathematical Analysis and Applications, 1997
The authors are concerned with smoothing effects for a class of nonlinear partial differential equations of parabolic type. They extend some known properties of the solution in the linear case, to their nonlinear case. Such properties are: \(u_t(\cdot, t)\to 0\) as \(t\to \infty\) in the \(L^2\)-norm, and \(u(\cdot,t)\) is bounded on \((0,\infty ...
Goldstein, Gisèle Ruiz   +1 more
openaire   +2 more sources

Parabolic Problems with Nonlinear Boundary Conditions and Critical Nonlinearities

open access: yesJournal of Differential Equations, 1999
The authors study the nonlinear parabolic problem \[ \begin{gathered} \frac {\partial u}{\partial t} =\Delta u + f(u) \text{ in } \Omega\times(0,T), \\ \frac {\partial u}{\partial \nu} = g(u) \text{ on } \partial\Omega\times(0,T), \\ u(\cdot,0) = u_0 \text{ in } \Omega, \end{gathered} \] where \(\Omega \subset \mathbb R^N\) has unit outer normal \(\nu\)
Arrieta, José M   +2 more
openaire   +1 more source

Monte Carlo solution of heat conductivity problems with quadratic nonlinearity on the boundary of domain [PDF]

open access: yesE3S Web of Conferences, 2023
In this work, we study the approach connected with branching Markov processes. Branching Markov random processes are created to solve boundary-value problems (BVR) with polynomial nonlinearities.
Rasulov Abdujabar   +2 more
doaj   +1 more source

Investigation of boundary stresses on MHD flow in a convergent/divergent channel: An analytical and numerical study

open access: yesAlexandria Engineering Journal, 2022
This study investigates the boundary stresses prescribed by the traction boundary condition on an incompressible magnetohydrodynamic Jeffery-Hamel flow of viscous fluid. The governing partial differential equations are transformed to a nonlinear ordinary
Zaheer Asghar   +2 more
doaj   +1 more source

The minimal seed of turbulent transition in the boundary layer [PDF]

open access: yes, 2011
This paper describes a scenario of transition from laminar to turbulent flow in a spatially developing boundary layer over a flat plate. The base flow is the Blasius non-parallel flow solution; it is perturbed by optimal disturbances yielding the largest
DE PALMA, Pietro   +8 more
core   +1 more source

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