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https://dspace.iiti.ac.in/handle/123456789/11108
| Title: | On an anisotropic double phase problem with singular and sign changing nonlinearity |
| Authors: | Garain, Prashanta |
| Keywords: | Laplace transforms;Anisotropic (p, q)-laplace operator;Critical case;Double phase problem;Energy solutions;Existence;Laplace operator;Phase problem;Sign changing nonlinearity;Sign-changing;Singular problem;Anisotropy |
| Issue Date: | 2023 |
| Publisher: | Elsevier Ltd |
| Citation: | Garain, P., & Mukherjee, T. (2023). On an anisotropic double phase problem with singular and sign changing nonlinearity. Nonlinear Analysis: Real World Applications, 70 doi:10.1016/j.nonrwa.2022.103790 |
| Abstract: | This article consists of study of anisotropic double phase problems with singular term and sign changing subcritical as well as critical nonlinearity. Seeking the help of well known Nehari manifold technique, we establish existence of at least two opposite sign energy solutions in the subcritical case and one negative energy solution in the critical case. The results in the critical case are new also in the classical p-Laplacian case. © 2022 Elsevier Ltd |
| URI: | https://doi.org/10.1016/j.nonrwa.2022.103790 https://dspace.iiti.ac.in/handle/123456789/11108 |
| ISSN: | 1468-1218 |
| Type of Material: | Journal Article |
| Appears in Collections: | Department of Mathematics |
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