Optimization of Steklov-Neumann eigenvalues
نویسندگان
چکیده
منابع مشابه
On Steklov-Neumann boundary value problems
We will study a class of Steklov-Neumann boundary value problems for some quasilinear elliptic equations. We obtain result ensuring the existence of solutions when resonance and nonresonance conditions occur. The result was obtained by using variational arguments.
متن کاملOn Principal Eigenvalues for Periodic Parabolic Steklov Problems
LetΩ be aC2+γ domain in RN ,N ≥ 2, 0 < γ < 1. LetT>0 and let L be a uniformly parabolic operator Lu= ∂u/∂t−∑i, j(∂/∂xi)(ai j(∂u/∂xj)) +∑ j b j(∂u/∂xi) + a0u, a0 ≥ 0, whose coefficients, depending on (x, t) ∈Ω×R, are T periodic in t and satisfy some regularity assumptions. Let A be the N ×N matrix whose i, j entry is ai j and let ν be the unit exterior normal to ∂Ω. Let m be a T-periodic functio...
متن کاملSloshing, Steklov and corners I: Asymptotics of sloshing eigenvalues
This is the first in a series of two papers aiming to establish sharp spectral asymptotics for Steklov type problems on planar domains with corners. In the present paper we focus on the two-dimensional sloshing problem, which is a mixed Steklov-Neumann boundary value problem describing small vertical oscillations of an ideal fluid in a container or in a canal with a uniform cross-section. We pr...
متن کاملMaximising Neumann eigenvalues on rectangles
We obtain results for the spectral optimisation of Neumann eigenvalues on rectangles in R with a measure or perimeter constraint. We show that the rectangle with measure 1 which maximises the k’th Neumann eigenvalue converges to the unit square in the Hausdorff metric as k → ∞. Furthermore, we determine the unique maximiser of the k’th Neumann eigenvalue on a rectangle with given perimeter. AMS...
متن کاملTwo-Parameter Eigenvalues Steklov Problem involving the p-Laplacian
We study the existence of eigenvalues for a two parameter Steklov eigenvalues problem with weights. Moreover, we prove the simplicity and the isolation results of the principal eigenvalue. Finally, we obtain the continuity and the differentiability of this principal eigenvalue. AMS Subject Classifications: 35J60, 35B33.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Computational Physics
سال: 2020
ISSN: 0021-9991
DOI: 10.1016/j.jcp.2019.109211