Multiple positive solutions for singular anisotropic Dirichlet problems

Liu Zhenhai and Papageorgiou Nikolaos S.: Multiple positive solutions for singular anisotropic Dirichlet problems. (2021)

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We consider a nonlinear Dirichlet problem driven by the variable exponent (anisotropic) p-Laplacian and a reaction that has the competing effects of a singular term and of a superlinear perturbation. There is no parameter in the equation (nonparametric problem). Using variational tools together with truncation and comparison techniques, we show that the problem has at least two positive smooth solutions.

Item Type: Journal
Publication full: Electronic journal of qualitative theory of differential equations
Date: 2021
Number: 47
ISSN: 1417-3875
Number of Pages: 12
Language: English
DOI: 10.14232/ejqtde.2021.1.47
Uncontrolled Keywords: Differenciálegyenlet, Dirichlet probléma
Additional Information: Bibliogr.: p. 11-12. ; összefoglalás angol nyelven
Date Deposited: 2021. Nov. 08. 15:46
Last Modified: 2021. Nov. 08. 15:46

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