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Stabilisation of linear waves with inhomogeneous Neumann boundary conditions
International Journal of ControlWe study linear damped and viscoelastic wave equations evolving on a bounded domain. For both models, we assume that waves are subject to an inhomogeneous Neumann boundary condition on a portion of the domain's boundary. The analysis of these models presents additional interesting features and challenges compared to their homogeneous counterparts.
Türker Özsari, Idem Susuzlu
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The N-membranes Problem with Neumann Type Boundary Condition
, 2006 We consider the problem of finding the equilibrium position of N membranes constrained not to pass through each other, under prescribed volumic forces and boundary tensions. This model corresponds to solve variationally a N-system for linear second order elliptic equations with sequential constraints.
Azevedo, Assis +2 more
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Eigenvalues of the Laplacian with Neumann boundary conditions [PDF]
The Journal of the Australian Mathematical Society. Series B. Applied Mathematics, 1985 AbstractVarious grometrical properties of a domain may be elicited from the asymptotic expansion of a spectral function of the Laplacian operator for that region with apporpriate boundary conditions. Explicit calculations, using analytical formulae for the eigenvalues, are performed for the cases fo Neumann and mixed boundary conditions, extending ...
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Ambrosetti-Prodi problem with degenerate potential and Neumann boundary condition
Electronic Journal of Differential Equations, 2018 We study the degenerate elliptic equation $$ -\hbox{div}(|x|^\alpha\nabla u) =f(u)+t\phi(x)+h(x) $$ in a bounded open set $\Omega$ with homogeneous Neumann boundary condition, where $\alpha\in(0,2)$ and f has a linear growth.
Dusan D. Repovs
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Existence of solutions to supercritical Neumann problems via a new variational principle
Electronic Journal of Differential Equations, 2017 We use a new variational principle to obtain a positive solution of $$ -\Delta u + u= a(|x|)|u|^{p-2}u \quad \text{in } B_1, $$ with Neumann boundary conditions where $B_1$ is the unit ball in $\mathbb{R}^N$, a is nonnegative, radial and increasing ...
Craig Cowan, Abbas Moameni, Leila Salimi
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The Nehari manifold approach for $p(x)$-Laplacian problem with Neumann boundary condition
Electronic Journal of Qualitative Theory of Differential Equations, 2013 In this paper, we consider the system \begin{eqnarray*} \left\{\begin{array}{ll} -\Delta_{p(x)} u + |u|^{p(x)-2}u = \lambda a(x)|u|^{r_1(x)-2}u + \frac{\alpha(x)}{\alpha(x) + \beta(x)} c(x)|u|^{\alpha(x)-2}u|v|^{\beta(x)} &~\textrm{in}~\Omega\\ -
A. Taghavi +2 more
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International Journal of Differential EquationsIn this paper, we study the following second order scalar differential inclusion: bzxΦz′x′∈Azx+Gx,zx,z′x a.e on Λ=0,α under nonlinear general boundary conditions incorporating a large number of boundary problems including Dirichlet, Neumann, Neumann ...
Droh Arsène Béhi +2 more
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Quasilinear Equations with Neumann Boundary Conditions
Mediterranean Journal of MathematicsKeywords: Subcritical nonlinearities, gradient elliptic systems, Neumann boundary conditions, quasilinear elliptic equations, nonsmooth critical point ...
Canino, Annamaria, Mauro, Simone
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Electronic Journal of Differential Equations, 2016 In this article, we study the variational-hemivariational inequalities with Neumann boundary condition. Using a nonsmooth critical point theorem, we prove the existence of infinitely many solutions for boundary-value problems.
Fariba Fattahi, Mohsen Alimohammady
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