Estimates of the first Neumann eigenvalue and the log-Sobolev constant on non-convex manifolds

2007 ◽  
Vol 280 (12) ◽  
pp. 1431-1439 ◽  
Author(s):  
Feng-Yu Wang
Keyword(s):  
Sobolev Constant ◽  
Neumann Eigenvalue

scholarly journals Inequalities for the lowest magnetic Neumann eigenvalue

2019 ◽  
Vol 109 (7) ◽  
pp. 1683-1700 ◽  
Author(s):  
S. Fournais ◽  
B. Helffer
Keyword(s):  
Neumann Eigenvalue

scholarly journals Attainability of the best Sobolev constant in a ball

2018 ◽  
Vol 375 (1-2) ◽  
pp. 1-16
Author(s):  
Norisuke Ioku
Keyword(s):  
Sobolev Constant

Dirichlet and Neumann eigenvalue problems on CR manifolds

2018 ◽  
Vol 67 (2) ◽  
pp. 285-320 ◽  
Author(s):  
Amine Aribi ◽  
Sorin Dragomir
Keyword(s):  
Eigenvalue Problems ◽  
Cr Manifolds ◽  
Neumann Eigenvalue

scholarly journals Critical Domains for the First Nonzero Neumann Eigenvalue in Riemannian Manifolds

2018 ◽  
Vol 29 (4) ◽  
pp. 3221-3247
Author(s):  
Mouhamed Moustapha Fall ◽  
Tobias Weth
Keyword(s):  
Riemannian Manifolds ◽  
Neumann Eigenvalue

Multiple positive solutions of nonhomogeneous semilinear elliptic equations in ℝN

1996 ◽  
Vol 126 (2) ◽  
pp. 443-463 ◽  
Author(s):  
Cao Dao-Min ◽  
Zhou Huan-Song
Keyword(s):  
Positive Solutions ◽  
Elliptic Equations ◽  
Semilinear Elliptic Equations ◽  
Multiple Positive Solutions ◽  
Semilinear Elliptic ◽  
Sobolev Constant ◽  
Image Position

We consider the following problemwhere for all ≦f(x,u)≦c1up-1 + c2u for all x ∈ℝN,u≧0 with c1>0,c2∈(0, 1), 2<p<(2N/(N – 2)) if N ≧ 3, 2 ≧ + ∝ if N = 2. We prove that (*) has at least two positive solutions ifand h≩0 in ℝN, where S is the best Sobolev constant and

The neumann eigenvalue problem

1973 ◽  
Vol 3 (3) ◽  
pp. 213-240 ◽  
Author(s):  
Gaetano Fichera
Keyword(s):  
Eigenvalue Problem ◽  
Neumann Eigenvalue

scholarly journals Optimizing the fundamental Neumann eigenvalue for the Laplacian in a domain with small traps

2005 ◽  
Vol 16 (2) ◽  
pp. 161-200 ◽  
Author(s):  
T. KOLOKOLNIKOV ◽  
M. S. TITCOMBE ◽  
M. J. WARD
Keyword(s):  
Neumann Eigenvalue
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