On the localization and numerical computation of positive radial solutions for ϕ-Laplace equations in the annulus
The paper deals with the existence and localization of positive radial solutions for stationary partial differential equations involving a general ϕ-Laplace operator in the annulus. Three sets of boundary conditions are considered: Dirichlet–Neumann, Neumann–Dirichlet and Dirichlet–Dirichlet. The re...
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| Dokumentumtípus: | Folyóirat |
| Megjelent: |
2022
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| Sorozat: | Electronic journal of qualitative theory of differential equations
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| Kulcsszavak: | ϕ-Laplace operátor, Harnack típusú egyenlőtlenség, Laplace-egyenlet |
| Tárgyszavak: | |
| doi: | 10.14232/ejqtde.2022.1.47 |
| Online Access: | http://acta.bibl.u-szeged.hu/78332 |
| LEADER | 01686nas a2200241 i 4500 | ||
|---|---|---|---|
| 001 | acta78332 | ||
| 005 | 20230313095604.0 | ||
| 008 | 230313s2022 hu o 0|| eng d | ||
| 022 | |a 1417-3875 | ||
| 024 | 7 | |a 10.14232/ejqtde.2022.1.47 |2 doi | |
| 040 | |a SZTE Egyetemi Kiadványok Repozitórium |b hun | ||
| 041 | |a eng | ||
| 100 | 2 | |a Rodríguez-López Jorge | |
| 245 | 1 | 3 | |a On the localization and numerical computation of positive radial solutions for ϕ-Laplace equations in the annulus |h [elektronikus dokumentum] / |c Rodríguez-López Jorge |
| 260 | |c 2022 | ||
| 490 | 0 | |a Electronic journal of qualitative theory of differential equations | |
| 520 | 3 | |a The paper deals with the existence and localization of positive radial solutions for stationary partial differential equations involving a general ϕ-Laplace operator in the annulus. Three sets of boundary conditions are considered: Dirichlet–Neumann, Neumann–Dirichlet and Dirichlet–Dirichlet. The results are based on the homotopy version of Krasnosel’ski˘ı’s fixed point theorem and Harnack type inequalities, first established for each one of the boundary conditions. As a consequence, the problem of multiple solutions is solved in a natural way. Numerical experiments confirming the theory, one for each of the three sets of boundary conditions, are performed by using the MATLAB object-oriented package Chebfun. | |
| 650 | 4 | |a Természettudományok | |
| 650 | 4 | |a Matematika | |
| 695 | |a ϕ-Laplace operátor, Harnack típusú egyenlőtlenség, Laplace-egyenlet | ||
| 700 | 0 | 1 | |a Precup Radu |e aut |
| 700 | 0 | 1 | |a Gheorghiu Calin-Ioan |e aut |
| 856 | 4 | 0 | |u http://acta.bibl.u-szeged.hu/78332/1/ejqtde_2022_047.pdf |z Dokumentum-elérés |