Derives Clarke subdifferential and first-variation formula for the kth eigenvalue on self-adjoint operators (valid at essential spectrum edge) and applies it to characterize optimal weights in weighted Laplace/Steklov problems.
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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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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.