Solutions for Some Specific Mathematical Physics Problems Issued from Modeling Real Phenomena: Part 2
This paper brings together methods to solve and/or characterize solutions of some problems of mathematical physics equations involving <i>p</i>-Laplacian and <i>p</i>-pseudo-Laplacian. Using the widely debated results of surjectivity or variational approaches, one may obtain...
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| Format: | Article |
| Language: | English |
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MDPI AG
2023-07-01
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| Series: | Axioms |
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| Online Access: | https://www.mdpi.com/2075-1680/12/8/726 |
| _version_ | 1797585537838612480 |
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| author | Irina Meghea |
| author_facet | Irina Meghea |
| author_sort | Irina Meghea |
| collection | DOAJ |
| description | This paper brings together methods to solve and/or characterize solutions of some problems of mathematical physics equations involving <i>p</i>-Laplacian and <i>p</i>-pseudo-Laplacian. Using the widely debated results of surjectivity or variational approaches, one may obtain or characterize weak solutions for Dirichlet or Newmann problems for these important operators. The relevance of these operators and the possibility to be involved in the modeling of an important class of real phenomena is once again revealed by their applications. The use of certain variational methods facilitates the complete solution of the problem using appropriate numerical methods and computational algorithms. Some theoretical results are involved to complete the solutions for a sequence of models issued from real phenomena drawing. |
| first_indexed | 2024-03-11T00:07:31Z |
| format | Article |
| id | doaj.art-7bf5be2d73444d5898db3764796dbf77 |
| institution | Directory Open Access Journal |
| issn | 2075-1680 |
| language | English |
| last_indexed | 2024-03-11T00:07:31Z |
| publishDate | 2023-07-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Axioms |
| spelling | doaj.art-7bf5be2d73444d5898db3764796dbf772023-11-19T00:14:17ZengMDPI AGAxioms2075-16802023-07-0112872610.3390/axioms12080726Solutions for Some Specific Mathematical Physics Problems Issued from Modeling Real Phenomena: Part 2Irina Meghea0Department of Mathematical Methods and Models, Faculty of Applied Sciences, University Politehnica of Bucharest, Bucharest 060042, RomaniaThis paper brings together methods to solve and/or characterize solutions of some problems of mathematical physics equations involving <i>p</i>-Laplacian and <i>p</i>-pseudo-Laplacian. Using the widely debated results of surjectivity or variational approaches, one may obtain or characterize weak solutions for Dirichlet or Newmann problems for these important operators. The relevance of these operators and the possibility to be involved in the modeling of an important class of real phenomena is once again revealed by their applications. The use of certain variational methods facilitates the complete solution of the problem using appropriate numerical methods and computational algorithms. Some theoretical results are involved to complete the solutions for a sequence of models issued from real phenomena drawing.https://www.mdpi.com/2075-1680/12/8/726modeling real phenomena<i>p</i>-Laplacian<i>p</i>-pseudo-Laplaciansurjectivity methodsvariational methodsDirichlet problem |
| spellingShingle | Irina Meghea Solutions for Some Specific Mathematical Physics Problems Issued from Modeling Real Phenomena: Part 2 Axioms modeling real phenomena <i>p</i>-Laplacian <i>p</i>-pseudo-Laplacian surjectivity methods variational methods Dirichlet problem |
| title | Solutions for Some Specific Mathematical Physics Problems Issued from Modeling Real Phenomena: Part 2 |
| title_full | Solutions for Some Specific Mathematical Physics Problems Issued from Modeling Real Phenomena: Part 2 |
| title_fullStr | Solutions for Some Specific Mathematical Physics Problems Issued from Modeling Real Phenomena: Part 2 |
| title_full_unstemmed | Solutions for Some Specific Mathematical Physics Problems Issued from Modeling Real Phenomena: Part 2 |
| title_short | Solutions for Some Specific Mathematical Physics Problems Issued from Modeling Real Phenomena: Part 2 |
| title_sort | solutions for some specific mathematical physics problems issued from modeling real phenomena part 2 |
| topic | modeling real phenomena <i>p</i>-Laplacian <i>p</i>-pseudo-Laplacian surjectivity methods variational methods Dirichlet problem |
| url | https://www.mdpi.com/2075-1680/12/8/726 |
| work_keys_str_mv | AT irinameghea solutionsforsomespecificmathematicalphysicsproblemsissuedfrommodelingrealphenomenapart2 |