{"paper":{"title":"Multiplicity of solutions with prescribed mass for a quasilinear critical Choquard equation driven by a local-nonlocal operator","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"J. Giacomoni, K. Sreenadh, Nidhi Nidhi","submitted_at":"2026-05-25T12:34:08Z","abstract_excerpt":"In this paper we study the normalized solutions of the following critical growth Choquard equation with mixed local and non-local operators:\n  \\begin{equation*}\n  \\begin{array}{rcl}\n  -\\Delta_p u +(-\\Delta_p)^s u & = & \\lambda |u|^{p-2}u +\\mu |u|^{q-2}u +(I_{\\alpha}*|u|^{p^*_{\\alpha}})|u|^{p^*_{\\alpha}-2}u \\text{ in } \\mathbb{R}^N;\n  \\left\\| u \\right\\|_p & = & \\tau.\n  \\end{array}\n  \\end{equation*}\n  Here, $N\\geq 3$, $2 \\le p<N$, $\\tau>0$, $I_{\\alpha}$ is the Riesz potential of order $\\alpha\\in (\\max\\{0,N-2p\\}, N)$, $p^*_{\\alpha}=\\frac{p}{2}\\left(\\frac{N+\\alpha}{N-p}\\right)$ is the critical exp"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2605.25787","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/2605.25787/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"}