Viscosity Solutions of Uniformly Elliptic Equations without Boundary and Growth Conditions at Infinity
We deal with fully nonlinear second-order equations assuming a superlinear growth in u with the aim to generalize previous existence and uniqueness results of viscosity solutions in the whole space without conditions at infinity. We also consider the solvability of the Dirichlet problem in bounded a...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2011-01-01
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| Series: | International Journal of Differential Equations |
| Online Access: | http://dx.doi.org/10.1155/2011/453727 |
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| _version_ | 1849695227418247168 |
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| author | G. Galise A. Vitolo |
| author_facet | G. Galise A. Vitolo |
| author_sort | G. Galise |
| collection | DOAJ |
| description | We deal with fully nonlinear second-order equations assuming a superlinear growth in u with the aim to generalize previous existence and uniqueness results of viscosity solutions in the whole space without conditions at infinity. We also consider the solvability of the Dirichlet problem in bounded and unbounded domains and show a blow-up result. |
| format | Article |
| id | doaj-art-a126ec095b994ceaab0edffb8250f77d |
| institution | DOAJ |
| issn | 1687-9643 1687-9651 |
| language | English |
| publishDate | 2011-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Differential Equations |
| spelling | doaj-art-a126ec095b994ceaab0edffb8250f77d2025-08-20T03:19:50ZengWileyInternational Journal of Differential Equations1687-96431687-96512011-01-01201110.1155/2011/453727453727Viscosity Solutions of Uniformly Elliptic Equations without Boundary and Growth Conditions at InfinityG. Galise0A. Vitolo1Department of Mathematics, University of Salerno, 84084 Fisciano, ItalyDepartment of Mathematics, University of Salerno, 84084 Fisciano, ItalyWe deal with fully nonlinear second-order equations assuming a superlinear growth in u with the aim to generalize previous existence and uniqueness results of viscosity solutions in the whole space without conditions at infinity. We also consider the solvability of the Dirichlet problem in bounded and unbounded domains and show a blow-up result.http://dx.doi.org/10.1155/2011/453727 |
| spellingShingle | G. Galise A. Vitolo Viscosity Solutions of Uniformly Elliptic Equations without Boundary and Growth Conditions at Infinity International Journal of Differential Equations |
| title | Viscosity Solutions of Uniformly Elliptic Equations without Boundary and Growth Conditions at Infinity |
| title_full | Viscosity Solutions of Uniformly Elliptic Equations without Boundary and Growth Conditions at Infinity |
| title_fullStr | Viscosity Solutions of Uniformly Elliptic Equations without Boundary and Growth Conditions at Infinity |
| title_full_unstemmed | Viscosity Solutions of Uniformly Elliptic Equations without Boundary and Growth Conditions at Infinity |
| title_short | Viscosity Solutions of Uniformly Elliptic Equations without Boundary and Growth Conditions at Infinity |
| title_sort | viscosity solutions of uniformly elliptic equations without boundary and growth conditions at infinity |
| url | http://dx.doi.org/10.1155/2011/453727 |
| work_keys_str_mv | AT ggalise viscositysolutionsofuniformlyellipticequationswithoutboundaryandgrowthconditionsatinfinity AT avitolo viscositysolutionsofuniformlyellipticequationswithoutboundaryandgrowthconditionsatinfinity |