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Radial Symmetry for Weak Positive Solutions of Fractional Laplacian with a Singular Nonlinearity
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| Zeitschriftentitel: | Symmetry |
|---|---|
| Personen und Körperschaften: | , |
| In: | Symmetry, 10, 2018, 12, S. 695 |
| Format: | E-Article |
| Sprache: | Englisch |
| veröffentlicht: |
MDPI AG
|
| Schlagwörter: |
| author_facet |
Wang, Xing Zhang, Li Wang, Xing Zhang, Li |
|---|---|
| author |
Wang, Xing Zhang, Li |
| spellingShingle |
Wang, Xing Zhang, Li Symmetry Radial Symmetry for Weak Positive Solutions of Fractional Laplacian with a Singular Nonlinearity Physics and Astronomy (miscellaneous) General Mathematics Chemistry (miscellaneous) Computer Science (miscellaneous) |
| author_sort |
wang, xing |
| spelling |
Wang, Xing Zhang, Li 2073-8994 MDPI AG Physics and Astronomy (miscellaneous) General Mathematics Chemistry (miscellaneous) Computer Science (miscellaneous) http://dx.doi.org/10.3390/sym10120695 <jats:p>This paper is concerned with the radial symmetry weak positive solutions for a class of singular fractional Laplacian. The main results in the paper demonstrate the existence and multiplicity of radial symmetry weak positive solutions by Schwarz spherical rearrangement, constrained minimization, and Ekeland’s variational principle. It is worth pointing out that our results extend the previous works of T. Mukherjee and K. Sreenadh to a setting in which the testing functions need not have a compact support. Moreover, we weakened one of the conditions used in their papers. Our results improve on existing studies on radial symmetry solutions of nonlocal boundary value problems.</jats:p> Radial Symmetry for Weak Positive Solutions of Fractional Laplacian with a Singular Nonlinearity Symmetry |
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| title |
Radial Symmetry for Weak Positive Solutions of Fractional Laplacian with a Singular Nonlinearity |
| title_unstemmed |
Radial Symmetry for Weak Positive Solutions of Fractional Laplacian with a Singular Nonlinearity |
| title_full |
Radial Symmetry for Weak Positive Solutions of Fractional Laplacian with a Singular Nonlinearity |
| title_fullStr |
Radial Symmetry for Weak Positive Solutions of Fractional Laplacian with a Singular Nonlinearity |
| title_full_unstemmed |
Radial Symmetry for Weak Positive Solutions of Fractional Laplacian with a Singular Nonlinearity |
| title_short |
Radial Symmetry for Weak Positive Solutions of Fractional Laplacian with a Singular Nonlinearity |
| title_sort |
radial symmetry for weak positive solutions of fractional laplacian with a singular nonlinearity |
| topic |
Physics and Astronomy (miscellaneous) General Mathematics Chemistry (miscellaneous) Computer Science (miscellaneous) |
| url |
http://dx.doi.org/10.3390/sym10120695 |
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2018 |
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695 |
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<jats:p>This paper is concerned with the radial symmetry weak positive solutions for a class of singular fractional Laplacian. The main results in the paper demonstrate the existence and multiplicity of radial symmetry weak positive solutions by Schwarz spherical rearrangement, constrained minimization, and Ekeland’s variational principle. It is worth pointing out that our results extend the previous works of T. Mukherjee and K. Sreenadh to a setting in which the testing functions need not have a compact support. Moreover, we weakened one of the conditions used in their papers. Our results improve on existing studies on radial symmetry solutions of nonlocal boundary value problems.</jats:p> |
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| description | <jats:p>This paper is concerned with the radial symmetry weak positive solutions for a class of singular fractional Laplacian. The main results in the paper demonstrate the existence and multiplicity of radial symmetry weak positive solutions by Schwarz spherical rearrangement, constrained minimization, and Ekeland’s variational principle. It is worth pointing out that our results extend the previous works of T. Mukherjee and K. Sreenadh to a setting in which the testing functions need not have a compact support. Moreover, we weakened one of the conditions used in their papers. Our results improve on existing studies on radial symmetry solutions of nonlocal boundary value problems.</jats:p> |
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| imprint | MDPI AG, 2018 |
| imprint_str_mv | MDPI AG, 2018 |
| institution | DE-Bn3, DE-Brt1, DE-Zwi2, DE-D161, DE-Gla1, DE-Zi4, DE-15, DE-Rs1, DE-Pl11, DE-105, DE-14, DE-Ch1, DE-L229, DE-D275 |
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| series | Symmetry |
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| spelling | Wang, Xing Zhang, Li 2073-8994 MDPI AG Physics and Astronomy (miscellaneous) General Mathematics Chemistry (miscellaneous) Computer Science (miscellaneous) http://dx.doi.org/10.3390/sym10120695 <jats:p>This paper is concerned with the radial symmetry weak positive solutions for a class of singular fractional Laplacian. The main results in the paper demonstrate the existence and multiplicity of radial symmetry weak positive solutions by Schwarz spherical rearrangement, constrained minimization, and Ekeland’s variational principle. It is worth pointing out that our results extend the previous works of T. Mukherjee and K. Sreenadh to a setting in which the testing functions need not have a compact support. Moreover, we weakened one of the conditions used in their papers. Our results improve on existing studies on radial symmetry solutions of nonlocal boundary value problems.</jats:p> Radial Symmetry for Weak Positive Solutions of Fractional Laplacian with a Singular Nonlinearity Symmetry |
| spellingShingle | Wang, Xing, Zhang, Li, Symmetry, Radial Symmetry for Weak Positive Solutions of Fractional Laplacian with a Singular Nonlinearity, Physics and Astronomy (miscellaneous), General Mathematics, Chemistry (miscellaneous), Computer Science (miscellaneous) |
| title | Radial Symmetry for Weak Positive Solutions of Fractional Laplacian with a Singular Nonlinearity |
| title_full | Radial Symmetry for Weak Positive Solutions of Fractional Laplacian with a Singular Nonlinearity |
| title_fullStr | Radial Symmetry for Weak Positive Solutions of Fractional Laplacian with a Singular Nonlinearity |
| title_full_unstemmed | Radial Symmetry for Weak Positive Solutions of Fractional Laplacian with a Singular Nonlinearity |
| title_short | Radial Symmetry for Weak Positive Solutions of Fractional Laplacian with a Singular Nonlinearity |
| title_sort | radial symmetry for weak positive solutions of fractional laplacian with a singular nonlinearity |
| title_unstemmed | Radial Symmetry for Weak Positive Solutions of Fractional Laplacian with a Singular Nonlinearity |
| topic | Physics and Astronomy (miscellaneous), General Mathematics, Chemistry (miscellaneous), Computer Science (miscellaneous) |
| url | http://dx.doi.org/10.3390/sym10120695 |