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A biharmonic problem with constraint involving critical Sobolev exponent

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Publication:2771444
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DOI10.1017/S0308210500001293zbMath1002.49002WikidataQ126224981 ScholiaQ126224981MaRDI QIDQ2771444

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Publication date: 15 January 2003

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)


zbMATH Keywords

limit behaviour\(\Gamma\)-convergenceexistence of minimizersbiharmonic problemgap phenomenon


Mathematics Subject Classification ID

Critical exponents in context of PDEs (35B33) Existence theories for free problems in two or more independent variables (49J10) Methods involving semicontinuity and convergence; relaxation (49J45) Biharmonic and polyharmonic equations and functions in higher dimensions (31B30) Variational methods for second-order elliptic equations (35J20)


Related Items (3)

Critical exponent and minimization problem in \(\mathbb{R}^N\) ⋮ Remarks on solutions of a fourth-order problem ⋮ A Note on Singularities in Semilinear Problems







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