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http://hdl.handle.net/2080/5571| Title: | A Mountain Pass Approach To Critical Free Boundary Problems With Mass Constraints |
| Authors: | Sahu, Subhashree Choudhuri, Debajyoti |
| Keywords: | Normalized solution Sobolev Critical free-boundary problems Elliptic regularity |
| Issue Date: | Dec-2025 |
| Publisher: | Ramanujan Mathematical Society |
| Citation: | 40th Annual Conference of the Ramanujan Mathematical Society, New Delhi, India, 18-20 December 2025 |
| Abstract: | In this problem the existence of a normalized solution with prescribed mass a > 0 for a class of Sobolev critical free boundary problems will be proved. The concentration–compactness principle is utilized to overcome the lack of compactness induced by the critical nonlinearity. The argument is based on elliptic regularity and a mountain pass framework in a constrained variational setting. |
| Description: | Copyright belongs to proceedings publisher. |
| URI: | http://hdl.handle.net/2080/5571 |
| Appears in Collections: | Conference Papers |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| 2025_ACRMS_SSahu_A Mountainpass.pdf | Poster Presentation | 344.7 kB | Adobe PDF | View/Open Request a copy |
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