{"paper":{"title":"Liouville theorems for $p$-Laplacian equations in convex cones without finite-energy condition","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DG"],"primary_cat":"math.AP","authors_text":"Changfeng Gui, Lu Chen, Wei Dai, Yunpeng Luo","submitted_at":"2026-05-28T03:04:26Z","abstract_excerpt":"We study the anisotropic Finsler $p$-Laplacian equation \\begin{equation*}\n  \\left\\{\n  \\begin{aligned}\n  &-\\Delta ^{H}_{p}u=f(u) \\quad\\,\\,\\, &{\\rm{in}} \\,\\, \\mathcal{C},\n  &{\\bf{a}}(\\nabla u)\\cdot \\nu =0 \\quad\\,\\,\\, &{\\rm{on}} \\,\\, \\partial\\mathcal{C},\n  \\end{aligned}\n  \\right.\n  \\end{equation*} where $N\\geq3$, $1<p<N$, $\\mathcal{C}\\subseteq\\mathbb{R}^{N}$ is an open convex cone and $\\Delta ^{H}_{p}$ is the anisotropic Finsler $p$-Laplacian operator. If $f(u)$ is nonnegative and subcritical, we prove that every bounded nonnegative solution in $\\mathcal{C}$ is identically zero. In particular, fo"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2605.29281","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2605.29281/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}