Proves uniform a priori bounds and a new pointwise description for bounded-energy blowing-up solutions of critical polyharmonic equations in high dimensions via asymptotic analysis.
König and P
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math.AP 2years
2026 2verdicts
UNVERDICTED 2representative citing papers
For n ≥ 8, sharp asymptotics of S(0) - S(εV) and blow-up profiles, rates, and locations are derived for the biharmonic Brézis-Nirenberg problem with Navier boundary conditions.
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A priori bounds for energy-bounded solutions of critical polyharmonic equations
Proves uniform a priori bounds and a new pointwise description for bounded-energy blowing-up solutions of critical polyharmonic equations in high dimensions via asymptotic analysis.
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Energy asymptotics and blow-up phenomena for biharmonic Br\'{e}zis-Nirenberg problem
For n ≥ 8, sharp asymptotics of S(0) - S(εV) and blow-up profiles, rates, and locations are derived for the biharmonic Brézis-Nirenberg problem with Navier boundary conditions.