Variational Approaches to Characterize Weak Solutions for Some Problems of Mathematical Physics Equations
This paper is aimed at providing three versions to solve and characterize weak solutions for Dirichlet problems involving the p-Laplacian and the p-pseudo-Laplacian. In this way generalized versions for some results which use Ekeland variational principle, critical points for nondifferentiable funct...
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| Format: | Article |
| Language: | English |
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Wiley
2016-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2016/2071926 |
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| _version_ | 1832549257958129664 |
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| author | Irina Meghea |
| author_facet | Irina Meghea |
| author_sort | Irina Meghea |
| collection | DOAJ |
| description | This paper is aimed at providing three versions to solve and characterize weak solutions for Dirichlet problems involving the p-Laplacian and the p-pseudo-Laplacian. In this way generalized versions for some results which use Ekeland variational principle, critical points for nondifferentiable functionals, and Ghoussoub-Maurey linear principle have been proposed. Three sequences of generalized statements have been developed starting from the most abstract assertions until their applications in characterizing weak solutions for some mathematical physics problems involving the abovementioned operators. |
| format | Article |
| id | doaj-art-b5fb611dae524fd790d95dd1262f1214 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2016-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-b5fb611dae524fd790d95dd1262f12142025-02-03T06:11:43ZengWileyAbstract and Applied Analysis1085-33751687-04092016-01-01201610.1155/2016/20719262071926Variational Approaches to Characterize Weak Solutions for Some Problems of Mathematical Physics EquationsIrina Meghea0Department of Mathematical Methods and Models, Faculty of Applied Sciences, University Politehnica of Bucharest, 060042 Bucharest, RomaniaThis paper is aimed at providing three versions to solve and characterize weak solutions for Dirichlet problems involving the p-Laplacian and the p-pseudo-Laplacian. In this way generalized versions for some results which use Ekeland variational principle, critical points for nondifferentiable functionals, and Ghoussoub-Maurey linear principle have been proposed. Three sequences of generalized statements have been developed starting from the most abstract assertions until their applications in characterizing weak solutions for some mathematical physics problems involving the abovementioned operators.http://dx.doi.org/10.1155/2016/2071926 |
| spellingShingle | Irina Meghea Variational Approaches to Characterize Weak Solutions for Some Problems of Mathematical Physics Equations Abstract and Applied Analysis |
| title | Variational Approaches to Characterize Weak Solutions for Some Problems of Mathematical Physics Equations |
| title_full | Variational Approaches to Characterize Weak Solutions for Some Problems of Mathematical Physics Equations |
| title_fullStr | Variational Approaches to Characterize Weak Solutions for Some Problems of Mathematical Physics Equations |
| title_full_unstemmed | Variational Approaches to Characterize Weak Solutions for Some Problems of Mathematical Physics Equations |
| title_short | Variational Approaches to Characterize Weak Solutions for Some Problems of Mathematical Physics Equations |
| title_sort | variational approaches to characterize weak solutions for some problems of mathematical physics equations |
| url | http://dx.doi.org/10.1155/2016/2071926 |
| work_keys_str_mv | AT irinameghea variationalapproachestocharacterizeweaksolutionsforsomeproblemsofmathematicalphysicsequations |