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  1. Nonlinear Differential Equations and Applications NoDEA
  2. Nonlinear Differential Equations and Applications NoDEA : Volume 13
  3. Nonlinear Differential Equations and Applications NoDEA : Volume 13, Issue 5-6, July 2007
  4. A singular Moser-Trudinger embedding and its applications
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Nonlinear Differential Equations and Applications NoDEA : Volume 23
Nonlinear Differential Equations and Applications NoDEA : Volume 22
Nonlinear Differential Equations and Applications NoDEA : Volume 21
Nonlinear Differential Equations and Applications NoDEA : Volume 20
Nonlinear Differential Equations and Applications NoDEA : Volume 19
Nonlinear Differential Equations and Applications NoDEA : Volume 18
Nonlinear Differential Equations and Applications NoDEA : Volume 17
Nonlinear Differential Equations and Applications NoDEA : Volume 16
Nonlinear Differential Equations and Applications NoDEA : Volume 15
Nonlinear Differential Equations and Applications NoDEA : Volume 14
Nonlinear Differential Equations and Applications NoDEA : Volume 13
Nonlinear Differential Equations and Applications NoDEA : Volume 13, Issue 5-6, July 2007
Decay estimate for the wave equation with a small potential
Initial value problem and relaxation limits of the hamer model for radiating gases in several space variables
Multiple vortices for a self-dual CP(1) Maxwell-Chern-Simons model
A singular Moser-Trudinger embedding and its applications
Linear growth coefficients in quasilinear equations
Multiplicity of solutions for quasilinear elliptic systems with critical growth
On the blow-up of solutions to the periodic Camassa-Holm equation
Semiclassical states for the nonlinear Schrödinger equation with the electromagnetic field
Exterior nonlinear Neumann problem
Nagumo and Landesman-Lazer type conditions for nonlinear second order systems
On a notion of unilateral slope for the Mumford-Shah functional
On a phase-change problem arising from inductive heating
Nonlinear Differential Equations and Applications NoDEA : Volume 13, Issue 4, December 2006
Nonlinear Differential Equations and Applications NoDEA : Volume 13, Issue 3, November 2006
Nonlinear Differential Equations and Applications NoDEA : Volume 13, Issue 2, July 2006
Nonlinear Differential Equations and Applications NoDEA : Volume 13, Issue 1, March 2006
Nonlinear Differential Equations and Applications NoDEA : Volume 12
Nonlinear Differential Equations and Applications NoDEA : Volume 11
Nonlinear Differential Equations and Applications NoDEA : Volume 10
Nonlinear Differential Equations and Applications NoDEA : Volume 9
Nonlinear Differential Equations and Applications NoDEA : Volume 8
Nonlinear Differential Equations and Applications NoDEA : Volume 7
Nonlinear Differential Equations and Applications NoDEA : Volume 6
Nonlinear Differential Equations and Applications NoDEA : Volume 5
Nonlinear Differential Equations and Applications NoDEA : Volume 4

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A singular Moser-Trudinger embedding and its applications

Content Provider SpringerLink
Author Sandeep, K.
Copyright Year 2006
Abstract Let Ω be a bounded domain in $${\mathbb{R}}^{n}$$ , we prove the singular Moser-Trudinger embedding: $$\mathop {\sup\limits_{\parallel u\parallel \leqslant 1\Omega } \int {\frac{{e^{\alpha |u|^{\frac{n} {{n - 1}}} } }}{{|x|^\beta }}} } < \infty$$ if and only if $$\frac{\alpha}{{\alpha _n }} + \frac{\beta}{n} \leqslant 1$$ where $$\alpha > 0,\beta \in [0,n),u \in W_0^{1,n} (\Omega )$$ and $$\parallel u\parallel = \left({\int\limits_\Omega {|\nabla u|^n } } \right)^\frac{1}{n}$$ . We will also study the corresponding critical exponent problem.
Ending Page 603
Page Count 19
Starting Page 585
File Format PDF
ISSN 10219722
e-ISSN 14209004
Journal Nonlinear Differential Equations and Applications NoDEA
Issue Number 5
Volume Number 13
Language English
Publisher Birkhäuser-Verlag
Publisher Date 2006-01-01
Publisher Place Basel
Access Restriction One Nation One Subscription (ONOS)
Subject Keyword noncompact variational problems Analysis Variational methods for second-order elliptic equations Nonlinear elliptic equations Moser-Trudinger Critical exponents
Content Type Text
Resource Type Article
Subject Applied Mathematics Analysis
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