Existence of sign-changing solutions for radially symmetric p-Laplacian equations with various potentials
| dc.contributor.author | Wang, Wei-Chuan | |
| dc.date.accessioned | 2021-08-26T14:35:52Z | |
| dc.date.available | 2021-08-26T14:35:52Z | |
| dc.date.issued | 2021-05-07 | |
| dc.description.abstract | In this article, we study the nonlinear equation (rn-1|u′(r)|p-2u′(r))′ + rn-1w(r)|u(r)|q-2 u(r) = 0, where q > p > 1. For positive potentials (w > 0), we investigate the existence of sign-changing solutions with prescribed number of zeros depending on the increasing initial parameters. For negative potentials, we deduce a finite interval in which the positive solution will tend to infinity. The main methods using in this work are the scaling argument, Prüfer-type substitutions, and some integrals involving the p-Laplacian. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 13 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Wang, W. C. (2021). Existence of sign-changing solutions for radially symmetric p-Laplacian equations with various potentials. <i>Electronic Journal of Differential Equations, 2021</i>(40), pp. 1-13. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/14450 | |
| dc.language.iso | en | |
| dc.publisher | Texas State University, Department of Mathematics | |
| dc.rights | Attribution 4.0 International | |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
| dc.source | Electronic Journal of Differential Equations, 2021, San Marcos, Texas: Texas State University and University of North Texas. | |
| dc.subject | Nonlinear p-Laplacian equation | |
| dc.subject | Sign-changing solution | |
| dc.subject | Blow-up solution | |
| dc.title | Existence of sign-changing solutions for radially symmetric p-Laplacian equations with various potentials | |
| dc.type | Article |