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Symmetry results for functions yielding best constants in Sobolev-type inequalities
1. | Mathematisches Institut, Universität zu Köln, D - 50923 Köln, Germany |
[1] |
YanYan Li, Tonia Ricciardi. A sharp Sobolev inequality on Riemannian manifolds. Communications on Pure and Applied Analysis, 2003, 2 (1) : 1-31. doi: 10.3934/cpaa.2003.2.1 |
[2] |
Igor E. Verbitsky. The Hessian Sobolev inequality and its extensions. Discrete and Continuous Dynamical Systems, 2015, 35 (12) : 6165-6179. doi: 10.3934/dcds.2015.35.6165 |
[3] |
Ze Cheng, Congming Li. An extended discrete Hardy-Littlewood-Sobolev inequality. Discrete and Continuous Dynamical Systems, 2014, 34 (5) : 1951-1959. doi: 10.3934/dcds.2014.34.1951 |
[4] |
Jianqing Chen. Best constant of 3D Anisotropic Sobolev inequality and its applications. Communications on Pure and Applied Analysis, 2010, 9 (3) : 655-666. doi: 10.3934/cpaa.2010.9.655 |
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José Francisco de Oliveira, João Marcos do Ó, Pedro Ubilla. Hardy-Sobolev type inequality and supercritical extremal problem. Discrete and Continuous Dynamical Systems, 2019, 39 (6) : 3345-3364. doi: 10.3934/dcds.2019138 |
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Genggeng Huang, Congming Li, Ximing Yin. Existence of the maximizing pair for the discrete Hardy-Littlewood-Sobolev inequality. Discrete and Continuous Dynamical Systems, 2015, 35 (3) : 935-942. doi: 10.3934/dcds.2015.35.935 |
[7] |
Daesung Kim. Instability results for the logarithmic Sobolev inequality and its application to related inequalities. Discrete and Continuous Dynamical Systems, 2022 doi: 10.3934/dcds.2022053 |
[8] |
Yutian Lei, Zhongxue Lü. Axisymmetry of locally bounded solutions to an Euler-Lagrange system of the weighted Hardy-Littlewood-Sobolev inequality. Discrete and Continuous Dynamical Systems, 2013, 33 (5) : 1987-2005. doi: 10.3934/dcds.2013.33.1987 |
[9] |
Jingbo Dou, Ye Li. Classification of extremal functions to logarithmic Hardy-Littlewood-Sobolev inequality on the upper half space. Discrete and Continuous Dynamical Systems, 2018, 38 (8) : 3939-3953. doi: 10.3934/dcds.2018171 |
[10] |
Lingju Kong, Roger Nichols. On principal eigenvalues of biharmonic systems. Communications on Pure and Applied Analysis, 2021, 20 (1) : 1-15. doi: 10.3934/cpaa.2020254 |
[11] |
Fioralba Cakoni, Drossos Gintides. New results on transmission eigenvalues. Inverse Problems and Imaging, 2010, 4 (1) : 39-48. doi: 10.3934/ipi.2010.4.39 |
[12] |
Manuel V. C. Vieira. Derivatives of eigenvalues and Jordan frames. Numerical Algebra, Control and Optimization, 2016, 6 (2) : 115-126. doi: 10.3934/naco.2016003 |
[13] |
Andreas Kirsch. On the existence of transmission eigenvalues. Inverse Problems and Imaging, 2009, 3 (2) : 155-172. doi: 10.3934/ipi.2009.3.155 |
[14] |
Ariel Salort. Lower bounds for Orlicz eigenvalues. Discrete and Continuous Dynamical Systems, 2022, 42 (3) : 1415-1434. doi: 10.3934/dcds.2021158 |
[15] |
Vesselin Petkov, Georgi Vodev. Localization of the interior transmission eigenvalues for a ball. Inverse Problems and Imaging, 2017, 11 (2) : 355-372. doi: 10.3934/ipi.2017017 |
[16] |
Armin Lechleiter. The factorization method is independent of transmission eigenvalues. Inverse Problems and Imaging, 2009, 3 (1) : 123-138. doi: 10.3934/ipi.2009.3.123 |
[17] |
Gianne Derks, Sara Maad, Björn Sandstede. Perturbations of embedded eigenvalues for the bilaplacian on a cylinder. Discrete and Continuous Dynamical Systems, 2008, 21 (3) : 801-821. doi: 10.3934/dcds.2008.21.801 |
[18] |
Alexandre Girouard, Iosif Polterovich. Upper bounds for Steklov eigenvalues on surfaces. Electronic Research Announcements, 2012, 19: 77-85. doi: 10.3934/era.2012.19.77 |
[19] |
Luc Robbiano. Counting function for interior transmission eigenvalues. Mathematical Control and Related Fields, 2016, 6 (1) : 167-183. doi: 10.3934/mcrf.2016.6.167 |
[20] |
Todd Kapitula, Björn Sandstede. Eigenvalues and resonances using the Evans function. Discrete and Continuous Dynamical Systems, 2004, 10 (4) : 857-869. doi: 10.3934/dcds.2004.10.857 |
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