On one variant of strongly nonlinear Gagliardo-Nirenberg inequality involving Laplace operator with application to nonlinear elliptic problems

DOI10.4171/RLM/856zbMath1442.46023arXiv1811.02312OpenAlexW2971439916WikidataQ115180993 ScholiaQ115180993MaRDI QIDQ2335818

Tomasz Choczewski, Agnieszka Kałamajska

Publication date: 15 November 2019

Published in: Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1811.02312

zbMATH Keywords

regularitySobolev spaceselliptic PDEsGagliardo-Nirenberg inequalitiesinterpolation inequalities

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Elliptic equations and elliptic systems (35J99) Inequalities involving derivatives and differential and integral operators (26D10) Inequalities applied to PDEs involving derivatives, differential and integral operators, or integrals (35A23)

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