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On a class of weighted anisotropic p-Laplace equation with singular nonlinearity
Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Mathematics, Analysis and Partial Differential Equations.
2023 (English)In: TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS, ISSN 1230-3429, Vol. 61, no 2, p. 775-799Article in journal (Refereed) Published
Abstract [en]

We consider a class of singular weighted anisotropic p-Laplace equations. We provide sufficient condition on the weight function that may vanish or blow up near the origin to ensure the existence of at least one weak solution in the purely singular case and at least two different weak solutions in the purturbed singular case.

Place, publisher, year, edition, pages
Nicolaus Copernicus University Press, 2023. Vol. 61, no 2, p. 775-799
Keywords [en]
Key words and phrases. Weighted anisotropic problem, singular nonlinearity, existence, p-admissible weights, variational method, approximation technique
National Category
Mathematical Analysis
Identifiers
URN: urn:nbn:se:uu:diva-516638DOI: 10.12775/TMNA.2022.037ISI: 001083453500012OAI: oai:DiVA.org:uu-516638DiVA, id: diva2:1815768
Available from: 2023-11-29 Created: 2023-11-29 Last updated: 2023-11-29Bibliographically approved

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Garain, Prashanta

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