First existence and uniqueness results for quasilinear Allen-Cahn systems with non-convex gradient energy, via maximal regularity for strong solutions and minimizing movements plus higher integrability for weak solutions.
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3 Pith papers cite this work. Polarity classification is still indexing.
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Pith papers citing it
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2026 3verdicts
UNVERDICTED 3representative citing papers
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.
A regularity theorem establishes that sufficiently regular stationary measures for a variational eigenvalue problem on manifolds are absolutely continuous with densities induced by harmonic maps.
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Weak and strong solutions for a class of quasilinear Allen--Cahn systems
First existence and uniqueness results for quasilinear Allen-Cahn systems with non-convex gradient energy, via maximal regularity for strong solutions and minimizing movements plus higher integrability for weak solutions.
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Eigenvalue optimization via a first-variation formula
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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A regularity theorem for stationary measures
A regularity theorem establishes that sufficiently regular stationary measures for a variational eigenvalue problem on manifolds are absolutely continuous with densities induced by harmonic maps.