Work

Doubly critical mixed-order quasilinear equations: existence, multiplicity and regularity

Year: 2026

Type: preprint

Abstract: We investigate a class of mixed-order quasilinear elliptic equations in \(\mathbb R^N\) driven by the \(q\)-biharmonic and \(p\)-Laplacian operators, \[ Δ_q^2u-Δ_pu = λ\frac{|u|^{r_σ-2}u}{|x|^σ} +|u|^{p^*-2}u +|u|^{q^{**}-2}u, \] where \(1

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2609.28260

Authors: Gloss, Elisandra, Marinho, Artur Jorge, Perera, Kanishka, Ribeiro, Bruno

Institutions: Florida Institute of Technology, Universidade Federal da Paraíba

Language: English

Topic: Nonlinear Partial Differential Equations

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: Florida Institute of Technology, Conselho Nacional de Desenvolvimento Científico e Tecnológico

Awards: G1712567004, G3504186351, G4489338341, G473682650, G5677190284, G6465247687, G6468153651, G757486376

OpenAlex ID: W7214219034

Cites: 3

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Related to: 10