Results 211 to 220 of about 15,517 (265)

Exterior Neumann Problem

2020
The exterior Neumann problem consists in finding u such that $$\displaystyle \begin {array}{rl} &Au(x)=0,\quad x\in S^-,\\ {} &Tu(x)=\mathscr {N}(x),\quad x\in {\partial S},\\ {} &u\in \mathscr {A}, \end {array} $$ where the vector function \(\mathscr {N}\in C^{(0,\alpha )}({\partial S})\), α ∈ (0, 1), is prescribed.
Christian Constanda, Dale Doty
openaire   +1 more source

The neumann problem

Lithuanian Mathematical Journal, 1991
The author gives a refinement of \textit{V. A. Kondrat'ev}'s result on boundary value problems for elliptic equations in a domain with conic corners [Tr. Mosk. Mat. O.-va 16, 209--292 (1967; Zbl 0162.16301)]. Let \(K\) be the angle on the plane \(x=(x_1,x_2):00\), \(r=\sqrt{x_1^2+x_2^2}\).
openaire   +1 more source

Neumann Problems and Steiner Symmetrization

Communications in Partial Differential Equations, 2005
ABSTRACT In the present paper we prove some comparison results via Steiner symmetrization for solutions to the Neumann problem where T > 0, Ω is a smooth connected open bounded subset of ℝ n , the coefficients a ij (x, y) and the datum f are smooth functions such that a ij (x, y)ξ i ξ j  ≥ |ξ|2, for any (x, y) ∈ G, for any ξ ∈ ℝ n and ∈ t G f dx dy = 0.
FERONE, VINCENZO, MERCALDO, ANNA
openaire   +2 more sources

Interior Neumann Problem

2020
The interior Neumann problem consists of the equation and boundary condition $$\displaystyle \begin {array}{ll} &Au(x)=0,\quad x\in S^+,\\ &Tu(x)=\mathscr {N}(x),\quad x\in {\partial S}, \end {array} $$ where the vector function \(\mathscr {N}\in C^{(0,\alpha )}({\partial S})\), α ∈ (0, 1), is prescribed.
Christian Constanda, Dale Doty
openaire   +1 more source

On resonant Neumann problems

Mathematische Annalen, 2011
The authors consider semilinear Neumann elliptic problems, defined on a bounded domain with a smooth boundary. By combining minimax methods based on the critical point theory with techniques from the Morse Theory, they prove the existence of a nontrivial solution for resonant problems with respect to any eigenvalue of the negative Neumann Laplacian ...
Motreanu, D.   +2 more
openaire   +2 more sources

Inverse Neumann obstacle problem

The Journal of the Acoustical Society of America, 1998
Results are reported for direct and inverse scattering of plane acoustic waves from sound-hard scatterers of arbitrary shapes in an infinite, homogeneous ambience. The direct problem is solved via a shape deformation technique which is valid for finite deformations.
L. S. Couchman   +2 more
openaire   +1 more source

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