Existence of solutions to nonhomogeneous Dirichlet problems with dependence on the gradient
The goal of this article is to explore the existence of positive solutions for a nonlinear elliptic equation driven by a nonhomogeneous partial differential operator with Dirichlet boundary condition. This equation a convection term and thereaction term is not required to satisfy global growth...
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| Format: | Article |
| Language: | English |
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Texas State University
2018-05-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2018/101/abstr.html |
| _version_ | 1811273738538188800 |
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| author | Yunru Bai |
| author_facet | Yunru Bai |
| author_sort | Yunru Bai |
| collection | DOAJ |
| description | The goal of this article is to explore the existence of positive solutions
for a nonlinear elliptic equation driven by a nonhomogeneous partial
differential operator with Dirichlet boundary condition. This equation
a convection term and thereaction term is not required to satisfy global
growth conditions. Our approach is based on the Leray-Schauder alternative
principle, truncation and comparison approaches, and nonlinear regularity
theory. |
| first_indexed | 2024-04-12T23:04:52Z |
| format | Article |
| id | doaj.art-90c67236eab645a7a54e489b3b605146 |
| institution | Directory Open Access Journal |
| issn | 1072-6691 |
| language | English |
| last_indexed | 2024-04-12T23:04:52Z |
| publishDate | 2018-05-01 |
| publisher | Texas State University |
| record_format | Article |
| series | Electronic Journal of Differential Equations |
| spelling | doaj.art-90c67236eab645a7a54e489b3b6051462022-12-22T03:12:57ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912018-05-012018101,118Existence of solutions to nonhomogeneous Dirichlet problems with dependence on the gradientYunru Bai0 Jagiellonian Univ., Krakow, Poland The goal of this article is to explore the existence of positive solutions for a nonlinear elliptic equation driven by a nonhomogeneous partial differential operator with Dirichlet boundary condition. This equation a convection term and thereaction term is not required to satisfy global growth conditions. Our approach is based on the Leray-Schauder alternative principle, truncation and comparison approaches, and nonlinear regularity theory.http://ejde.math.txstate.edu/Volumes/2018/101/abstr.htmlNonhomogeneous p-Laplacian operatornonlinear regularityDirichlet boundary condition convection termtruncationLeray-Schauder alternative |
| spellingShingle | Yunru Bai Existence of solutions to nonhomogeneous Dirichlet problems with dependence on the gradient Electronic Journal of Differential Equations Nonhomogeneous p-Laplacian operator nonlinear regularity Dirichlet boundary condition convection term truncation Leray-Schauder alternative |
| title | Existence of solutions to nonhomogeneous Dirichlet problems with dependence on the gradient |
| title_full | Existence of solutions to nonhomogeneous Dirichlet problems with dependence on the gradient |
| title_fullStr | Existence of solutions to nonhomogeneous Dirichlet problems with dependence on the gradient |
| title_full_unstemmed | Existence of solutions to nonhomogeneous Dirichlet problems with dependence on the gradient |
| title_short | Existence of solutions to nonhomogeneous Dirichlet problems with dependence on the gradient |
| title_sort | existence of solutions to nonhomogeneous dirichlet problems with dependence on the gradient |
| topic | Nonhomogeneous p-Laplacian operator nonlinear regularity Dirichlet boundary condition convection term truncation Leray-Schauder alternative |
| url | http://ejde.math.txstate.edu/Volumes/2018/101/abstr.html |
| work_keys_str_mv | AT yunrubai existenceofsolutionstononhomogeneousdirichletproblemswithdependenceonthegradient |