Please use this identifier to cite or link to this item: 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

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