Spectrum of the weighted Laplace operator in unbounded domains

Alexey Filinovskiy

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New inequalities similar to Hardy-Hilbert inequality and their applications.

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Kwangseok Choe, Namkwon Kim (2008)

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On planar selfdual electroweak vortices

Dongho Chae, Gabriella Tarantello (2004)

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On a volume constrained variational problem in SBV $^{2} (Ω)$ : part I

Ana Cristina Barroso, José Matias (2002)

ESAIM: Control, Optimisation and Calculus of Variations

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We consider the problem of minimizing the energy $E (u) : = \int_{Ω} {| \nabla u (x) |}^{2} d x + \int_{S_{u} \cap Ω} (1 + | [u] (x) |) d H^{N - 1} (x)$ among all functions $u \in S B V^{2} (Ω)$ for which two level sets ${u = l_{i}}$ have prescribed Lebesgue measure $α_{i}$ . Subject to this volume constraint the existence of minimizers for $E (\cdot)$ is proved and the asymptotic behaviour of the solutions is investigated.

On the composition of distributions $x^{- s} ln | x |$ and ${| x |}^{μ}$ .

Jolevska-Tuneska, Biljana, Özçaḡ, Emin (2007)

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General Hardy inequalities with optimal constants and remainder terms.

Shen, Yaotian, Chen, Zhihui (2005)

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A sufficient condition for the integral version of Martins' inequality.

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Displaying similar documents to “Spectrum of the weighted Laplace operator in unbounded domains”

New inequalities similar to Hardy-Hilbert inequality and their applications.

Blow-up solutions of the self-dual Chern–Simons–Higgs vortex equation

On planar selfdual electroweak vortices

On a volume constrained variational problem in SBV 2 ( Ω ) : part I

On the composition of distributions x - s ln | x | and | x | μ .

General Hardy inequalities with optimal constants and remainder terms.

A sufficient condition for the integral version of Martins' inequality.

On a volume constrained variational problem in SBV $^{2} (Ω)$ : part I

On the composition of distributions $x^{- s} ln | x |$ and ${| x |}^{μ}$ .