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A KAM Approach to the Inviscid Limit for the 2D Navier-Stokes Equations. [PDF]
Ann Henri PoincareFranzoi L, Montalto R.
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Wavenumber-Explicit hp-FEM Analysis for Maxwell's Equations with Impedance Boundary Conditions. [PDF]
Found Comut MathMelenk JM, Sauter SA.
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A Trudinger–Moser inequality in a weighted Sobolev space and applications
, 2014We establish a Trudinger–Moser type inequality in a weighted Sobolev space. The inequality is applied in the study of the elliptic equation − div (K(x)∇u)=K(x)f(u)+h in R2,where K(x)=exp(|x|2/4) , f has exponential critical growth and h belongs to the ...
M. Furtado, E. Medeiros, U. Severo
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Two non-trivial solutions for a non-homogeneous Neumann problem: an Orlicz–Sobolev space setting
Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 2009In this paper we study a non-homogeneous Neumann-type problem which involves a nonlinearity satisfying a non-standard growth condition. By using a recent variational principle of Ricceri, we establish the existence of at least two non-trivial solutions ...
A. Kristály +2 more
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Homeomorphisms in the Sobolev space W 1,n–1
, 2010Let be open. We show that each homeomorphism satisfies . If we moreover assume that ƒ has finite distortion, then and ƒ–1 has finite distortion. The main ingredient is a new result on change of variables in integral (area and coarea formula) for such ...
M. Csörnyei, S. Hencl, J. Malý
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A Sobolev Space Analysis of Picture Reconstruction
, 1980The problem of recovering the density function of a plane picture from its line integrals is considered. If a picture of finite extent whose density function belongs to the Sobolev space$H^\alpha $ of order $\alpha > \frac{1} {2}$ is to be reconstructed ...
F. Natterer
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