{"paper":{"title":"Nonlinear Transmission Eigenvalue Problems with Nonhomogeneous Operators of Different p-Growth","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Luminita Barbu, Raluca-Gabriela Turtoi","submitted_at":"2026-05-22T06:10:32Z","abstract_excerpt":"Let $\\Omega \\subset \\mathbb{R}^N$, $N \\ge 2$, be a bounded domain with Lipschitz boundary, divided by a Lipschitz hypersurface $\\Sigma$ into two open, disjoint Lipschitz subdomains $\\Omega_1$ and $\\Omega_2$. We study a nonlinear transmission eigenvalue problem driven by nonhomogeneous operators with $p_i$- growth in each subdomain $\\Omega_i$, $i=1,2$, and subject to continuity and flux transmission conditions across the interface $\\Sigma$. The real parameter $\\lambda$ appears both in the equations and in the nonlinear boundary conditions. Using variational methods, we prove the existence of an"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2605.23266","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/2605.23266/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"}