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On an anisotropic double phase problem with singular and sign changing nonlinearity
Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Mathematics, Analysis and Partial Differential Equations. Uppsala Univ, Dept Math, S-75106 Uppsala, Sweden.;Indian Inst Technol Indore, Dept Math, Khandwa Rd, Simrol 453552, Madhya Pradesh, India..
Indian Inst Technol Jodhpur, Dept Math, Jodhpur 342030, Rajasthan, India..
2023 (English)In: Nonlinear Analysis: Real World Applications, ISSN 1468-1218, Vol. 70, article id 103790Article in journal (Refereed) Published
Abstract [en]

This article consists of study of anisotropic double phase problems with singular term and sign changing subcritical as well as critical nonlinearity. Seeking the help of well known Nehari manifold technique, we establish existence of at least two opposite sign energy solutions in the subcritical case and one negative energy solution in the critical case. The results in the critical case are new also in the classical p-Laplacian case.(c) 2022 Elsevier Ltd. All rights reserved.

Place, publisher, year, edition, pages
PERGAMON-ELSEVIER SCIENCE LTD Elsevier, 2023. Vol. 70, article id 103790
Keywords [en]
Double phase problem, Anisotropic(pq)-Laplace operator, Existence, Sign changing nonlinearity, Singular problem
National Category
Mathematical Analysis
Identifiers
URN: urn:nbn:se:uu:diva-492112DOI: 10.1016/j.nonrwa.2022.103790ISI: 000891375200005OAI: oai:DiVA.org:uu-492112DiVA, id: diva2:1732590
Available from: 2023-01-31 Created: 2023-01-31 Last updated: 2024-01-15Bibliographically approved

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Garain, Prashanta

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