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  1. Nonlinear Differential Equations and Applications NoDEA
  2. Nonlinear Differential Equations and Applications NoDEA : Volume 17
  3. Nonlinear Differential Equations and Applications NoDEA : Volume 17, Issue 2, April 2010
  4. Compact Sobolev embedding theorems involving symmetry and its application
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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 17, Issue 6, December 2010
Nonlinear Differential Equations and Applications NoDEA : Volume 17, Issue 5, October 2010
Nonlinear Differential Equations and Applications NoDEA : Volume 17, Issue 4, August 2010
Nonlinear Differential Equations and Applications NoDEA : Volume 17, Issue 3, June 2010
Nonlinear Differential Equations and Applications NoDEA : Volume 17, Issue 2, April 2010
Grow-up of critical solutions for a non-local porous medium problem with Ohmic heating source
Description of periodic p-harmonic functions on Cayley tree
Compact Sobolev embedding theorems involving symmetry and its application
Regularity criteria for the 3D magneto-micropolar fluid equations in the Morrey–Campanato space
On quasilinear parabolic equations involving weighted p-Laplacian operators
Very slow convergence rates in a semilinear parabolic equation
Multiple solutions to a nonlinear Schrödinger equation with Aharonov–Bohm magnetic potential
Solutions of nonlinear differential equations
Nonlinear Differential Equations and Applications NoDEA : Volume 17, Issue 1, February 2010
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 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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Compact Sobolev embedding theorems involving symmetry and its application

Content Provider SpringerLink
Author Gao, Juanjuan Zhao, Peihao Zhang, Yong
Copyright Year 2009
Abstract Given a bounded regular domain with cylindrical symmetry, functions having such symmetry and belonging to W 1,p can be embedded compactly into some weighted L q spaces, with q superior to the critical Sobolev exponent. A similar result is also obtained for variable exponent Sobolev space W 1,p(x). Furthermore, we give a simple application to the p(x)-Laplacian problem.
Ending Page 180
Page Count 20
Starting Page 161
File Format PDF
ISSN 10219722
e-ISSN 14209004
Journal Nonlinear Differential Equations and Applications NoDEA
Issue Number 2
Volume Number 17
Language English
Publisher SP Birkhäuser Verlag Basel
Publisher Date 2009-11-20
Publisher Place Basel
Access Restriction One Nation One Subscription (ONOS)
Subject Keyword p(x)-Laplacian Cylindrical symmetry Sobolev spaces and other spaces of ``smooth'' functions, embedding theorems, trace theorems Weak solution Sobolev embedding Analysis Nonlinear elliptic equations Spaces of measurable functions ($L^p$-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.)
Content Type Text
Resource Type Article
Subject Applied Mathematics Analysis
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