Existence Theorems via Calculus of Variations
碩士 === 國立中正大學 === 應用數學研究所 === 92 === By using Calculus of Variations to prove that certain PDE has at least one nontrivial solution. The method is to derive that a functional of some particular form. Then its corresponding Euler-Lagrange equation has at least one nontrivial weak solution....
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| Format: | Others |
| Language: | en_US |
| Published: |
2004
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| Online Access: | http://ndltd.ncl.edu.tw/handle/83148146720180469803 |
| Summary: | 碩士 === 國立中正大學 === 應用數學研究所 === 92 === By using Calculus of Variations to prove that certain PDE has at least one nontrivial solution. The method is to derive that a functional of some particular form. Then its corresponding Euler-Lagrange equation has at least one nontrivial weak solution. At last, I present two properties of solutions for Poisson equations.
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