Solutions to the singular Liouville equation associated with the Finsler-N-Laplacian are classified under a relaxed finite mass condition.
Zhou, Classification theorem for positive critical points of Sobolev trace inequality, arXiv: 2402.17602
4 Pith papers cite this work. Polarity classification is still indexing.
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All positive solutions to the D^{1,p}-critical quasi-linear Schrödinger system with p-Laplacian are radially symmetric, strictly decreasing, and unique up to translation.
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Proves nonexistence of solutions to (p,q)-Laplace equations in subcritical range p-1<α<q*-1 via vector field method, differential identity, and cutoff integral estimates.
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Classification of solutions to the singular Liouville's equation associated with the $N$ Finsler Laplacian
Solutions to the singular Liouville equation associated with the Finsler-N-Laplacian are classified under a relaxed finite mass condition.
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All positive solutions to the D^{1,p}-critical quasi-linear Schrödinger system with p-Laplacian are radially symmetric, strictly decreasing, and unique up to translation.
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Liouville theorems for $p$-Laplacian equations in convex cones without finite-energy condition
Proves that bounded nonnegative solutions to subcritical anisotropic Finsler p-Laplacian equations in convex cones are zero and classifies critical-case positive solutions without finite-energy assumption.
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Liouville Theorem for $(p,q)$-Laplace Equations
Proves nonexistence of solutions to (p,q)-Laplace equations in subcritical range p-1<α<q*-1 via vector field method, differential identity, and cutoff integral estimates.