Dini-Campanato spaces and applications to nonlinear elliptic equations.

Kovats, Jay

Displaying similar documents to “Dini-Campanato spaces and applications to nonlinear elliptic equations.”

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.

A stability result in the localization of cavities in a thermic conducting medium

B. Canuto, Edi Rosset, S. Vessella (2002)

ESAIM: Control, Optimisation and Calculus of Variations

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We prove a logarithmic stability estimate for a parabolic inverse problem concerning the localization of unknown cavities in a thermic conducting medium $Ω$ in $ℝ^{n}$ , $n \geq 2$ , from a single pair of boundary measurements of temperature and thermal flux.

Evaluations of some variant Euler sums.

Chen, Hongwei (2006)

Journal of Integer Sequences [electronic only]

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Asymptotic properties of the magnetic integrated density of states.

Raikov, G.D. (1999)

Electronic Journal of Differential Equations (EJDE) [electronic only]

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

Zhongxue, Lü, Hongzheng, Xie (2007)

Journal of Inequalities and Applications [electronic only]

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On planar selfdual electroweak vortices

Dongho Chae, Gabriella Tarantello (2004)

Annales de l'I.H.P. Analyse non linéaire

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The maximum principle for equations with composite coefficients.

Lieberman, Gary M. (2000)

Electronic Journal of Differential Equations (EJDE) [electronic only]

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Spectrum of the weighted Laplace operator in unbounded domains

Alexey Filinovskiy (2011)

Mathematica Bohemica

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We investigate the spectral properties of the differential operator $- r^{s} Δ$ , $s \geq 0$ with the Dirichlet boundary condition in unbounded domains whose boundaries satisfy some geometrical condition. Considering this operator as a self-adjoint operator in the space with the norm ${∥ u ∥}_{L_{2, s} (Ω)}^{2} = \int_{Ω} r^{- s} {| u |}^{2} d x$ , we study the structure of the spectrum with respect to the parameter $s$ . Further we give an estimate of the rate of condensation of discrete spectra when it changes to continuous.