The Experts below are selected from a list of 29097 Experts worldwide ranked by ideXlab platform
Susanna Terracini - One of the best experts on this subject based on the ideXlab platform.
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multi layer radial solutions for a supercritical Neumann Problem
Journal of Differential Equations, 2016Co-Authors: Denis Bonheure, Massimo Grossi, Benedetta Noris, Susanna TerraciniAbstract:Abstract In this paper we study the Neumann Problem { − Δ u + u = u p in B 1 u > 0 in B 1 ∂ ν u = 0 on ∂ B 1 , and we show the existence of multiple-layer radial solutions as p → + ∞ .
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Multi-layer radial solutions for a supercritical Neumann Problem
Journal of Differential Equations, 2016Co-Authors: Denis Bonheure, Massimo Grossi, Benedetta Noris, Susanna TerraciniAbstract:In this paper we study the Neumann Problem \begin{equation*} \begin{cases} -\Delta u+u=u^p & \text{ in }B_1 \\ u > 0, & \text{ in }B_1 \\ \partial_\nu u=0 & \text{ on } \partial B_1, \end{cases} \end{equation*} and we show the existence of multiple-layer radial solutions as $p\rightarrow+\infty$.
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multi layer radial solutions for a supercritical Neumann Problem
arXiv: Analysis of PDEs, 2015Co-Authors: Denis Bonheure, Massimo Grossi, Benedetta Noris, Susanna TerraciniAbstract:In this paper we study the Neumann Problem\begin{equation*}\begin{cases}-\Delta u+u=u^p \& \text{ in }B\_1 \\u \textgreater{} 0, \& \text{ in }B\_1 \\\partial\_\nu u=0 \& \text{ on } \partial B\_1,\end{cases}\end{equation*}and we show the existence of multiple-layer radial solutions as $p\rightarrow+\infty$.
Emil J. Straube - One of the best experts on this subject based on the ideXlab platform.
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aspects of the l2 sobolev theory of the Neumann Problem
2006Co-Authors: Emil J. StraubeAbstract:The ∂-Neumann Problem is the fundamental boundary value Problem in several complex variables. It features an elliptic operator coupled with non-coercive boundary conditions. The Problem is globally regular on many, but not all, pseudoconvex domains. We discuss several recent developments in theL2-Sobolev theory of the ∂-Neumann Problem that concern compactness and global regularity. Mathematics Subject Classification (2000). Primary 32W05; Secondary 35N15.
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Aspects of the L2-Sobolev theory of the ∂-Neumann Problem
2006Co-Authors: Emil J. StraubeAbstract:The ∂-Neumann Problem is the fundamental boundary value Problem in several complex variables. It features an elliptic operator coupled with non-coercive boundary conditions. The Problem is globally regular on many, but not all, pseudoconvex domains. We discuss several recent developments in theL2-Sobolev theory of the ∂-Neumann Problem that concern compactness and global regularity. Mathematics Subject Classification (2000). Primary 32W05; Secondary 35N15.
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semi classical analysis of schrodinger operators and compactness in the Neumann Problem
Journal of Mathematical Analysis and Applications, 2002Co-Authors: Emil J. StraubeAbstract:Abstract We study the asymptotic behavior, in a “semi-classical limit,” of the first eigenvalues (i.e., the groundstate energies) of a class of Schrodinger operators with magnetic fields and the relationship of this behavior with compactness in the ∂ -Neumann Problem on Hartogs domains in C 2 .
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Compactness in the d-bar-Neumann Problem
arXiv: Complex Variables, 1999Co-Authors: Emil J. StraubeAbstract:This paper surveys the theory of compactness of the d-bar-Neumann Problem. It also contains several results which improve upon what was previously known.
Denis Bonheure - One of the best experts on this subject based on the ideXlab platform.
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multi layer radial solutions for a supercritical Neumann Problem
Journal of Differential Equations, 2016Co-Authors: Denis Bonheure, Massimo Grossi, Benedetta Noris, Susanna TerraciniAbstract:Abstract In this paper we study the Neumann Problem { − Δ u + u = u p in B 1 u > 0 in B 1 ∂ ν u = 0 on ∂ B 1 , and we show the existence of multiple-layer radial solutions as p → + ∞ .
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Multi-layer radial solutions for a supercritical Neumann Problem
Journal of Differential Equations, 2016Co-Authors: Denis Bonheure, Massimo Grossi, Benedetta Noris, Susanna TerraciniAbstract:In this paper we study the Neumann Problem \begin{equation*} \begin{cases} -\Delta u+u=u^p & \text{ in }B_1 \\ u > 0, & \text{ in }B_1 \\ \partial_\nu u=0 & \text{ on } \partial B_1, \end{cases} \end{equation*} and we show the existence of multiple-layer radial solutions as $p\rightarrow+\infty$.
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multi layer radial solutions for a supercritical Neumann Problem
arXiv: Analysis of PDEs, 2015Co-Authors: Denis Bonheure, Massimo Grossi, Benedetta Noris, Susanna TerraciniAbstract:In this paper we study the Neumann Problem\begin{equation*}\begin{cases}-\Delta u+u=u^p \& \text{ in }B\_1 \\u \textgreater{} 0, \& \text{ in }B\_1 \\\partial\_\nu u=0 \& \text{ on } \partial B\_1,\end{cases}\end{equation*}and we show the existence of multiple-layer radial solutions as $p\rightarrow+\infty$.
Dariush Ehsani - One of the best experts on this subject based on the ideXlab platform.
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The \({\bar{\partial}}\) -Neumann Problem on product domains in \({\mathbb{C}^{n}}\)
Mathematische Annalen, 2006Co-Authors: Dariush EhsaniAbstract:Let \({\Omega=\Omega_{1}\times\cdots\times\Omega_{n}\subset\mathbb{C}^{n}}\) , where \({\Omega_{j}\subset\mathbb{C}}\) is a bounded domain with smooth boundary. We study the solution operator to the \({\overline\partial}\) -Neumann Problem for (0,1)-forms on Ω. In particular, we construct singular functions which describe the singular behavior of the solution. As a corollary our results carry over to the \({\overline\partial}\) -Neumann Problem for (0,q)-forms. Despite the singularities, we show that the canonical solution to the \({\overline\partial}\) -equation, obtained from the Neumann operator, does not exhibit singularities when given smooth data.
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Solution of the dbar-Neumann Problem on a bi-disc
arXiv: Complex Variables, 2003Co-Authors: Dariush EhsaniAbstract:In this paper we study the behavior of the solution to the dbar-Neumann Problem for (0,1)-forms on a bi-disc in C^2. We show singularities which arise at the distinguished boundary are of logarithmic and arctangent type.
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solution of the Neumann Problem on a non smooth domain
Indiana University Mathematics Journal, 2003Co-Authors: Dariush EhsaniAbstract:We study the solution of the ∂-Neumann Problem on (0,1)-forms on the product of two half-planes in C 2 . In particular, we show the solution can be decomposed into functions smooth up to the boundary and functions which are singular at the singular points of the boundary. Furthermore, we show the singular functions are log and arctan terms.
Jan Chabrowski - One of the best experts on this subject based on the ideXlab platform.
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On the Neumann Problem with a nonlinear boundary condition
2011Co-Authors: Jan ChabrowskiAbstract:We investigate the solvability of the Neumann Problem with a nonlinear boundary condition. We distinguish two cases: concave and convex nonlinearity on the boundary. In the concave case we prove the existence of at least two solutions.
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On the Neumann Problem with multiple critical nonlinearities
Complex Variables and Elliptic Equations, 2010Co-Authors: Jan ChabrowskiAbstract:We prove the existence of a solution of the nonlinear Neumann Problem involving the Sobolev–Hardy-type nonlinearities. If one of the weight functions changes sign, we prove the existence of at least two solutions.
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On the Neumann Problem involving the Hardy - Sobolev potentials
2010Co-Authors: Jan ChabrowskiAbstract:We establish the existence of solutions for the Neumann Problem involving two Hardy Sobolev potentials with singularities at two distinct points.
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On the Neumann Problem with $L^1$ data
Colloquium Mathematicum, 2007Co-Authors: Jan ChabrowskiAbstract:We investigate the solvability of the linear Neumann Problem (1.1) with L data. The results are applied to obtain existence theorems for a semilinear Neumann Problem.
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Exterior nonlinear Neumann Problem
Nodea-nonlinear Differential Equations and Applications, 2007Co-Authors: Jan Chabrowski, Zhi-qiang WangAbstract:We consider the solvability of the Neumann Problem for equation (1.1) in exterior domains in both cases: subcritical and critical. We establish the existence of least energy solutions. In the subcritical case the coefficient b(x) is allowed to have a potential well whose steepness is controlled by a parameter lambda > 0. We show that least energy solutions exhibit a tendency to concentrate to a solution of a nonlinear Problem with mixed boundary value conditions.
