Green's identities, comparison principle and uniqueness of positive solutions for nonlinear \(p\)-sub-Laplacian equations on stratified Lie groups

DOI10.1007/s11118-019-09782-yzbMath1442.35492arXiv1706.09214OpenAlexW2964257988WikidataQ115381388 ScholiaQ115381388MaRDI QIDQ778799

Durvudkhan Suragan, Michael Ruzhansky

Publication date: 20 July 2020

Published in: Potential Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1706.09214

zbMATH Keywords

comparison principleGreen's identityPicone's identitystratified Lie group\(p\)-sub-LaplacianDíaz-Saá inequality

Mathematics Subject Classification ID

Boundary value problems for PDEs with pseudodifferential operators (35S15) PDEs on Heisenberg groups, Lie groups, Carnot groups, etc. (35R03)

Related Items (5)

Green's identities for \((p, q)\)-sub-Laplacians on the Heisenberg group and their applications ⋮ Compact embeddings, eigenvalue problems, and subelliptic Brezis-Nirenberg equations involving singularity on stratified Lie groups ⋮ Non-blow-up and blow-up results to heat equations with logarithmic nonlinearity on stratified groups ⋮ Principal frequency of \(p\)-sub-Laplacians for general vector fields ⋮ Blow-up results for viscoelastic wave equations with damping terms on stratified groups

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