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Izvestiya: Mathematics, 2021, Volume 85, Issue 2, Pages 262–278
DOI: https://doi.org/10.1070/IM9000
(Mi im9000)
 

This article is cited in 2 scientific papers (total in 2 papers)

Positive solutions of superlinear elliptic problems with discontinuous non-linearities

V. N. Pavlenkoa, D. K. Potapovb

a Chelyabinsk State University
b Saint Petersburg State University
References:
Abstract: We consider an elliptic boundary-value problem with a homogeneous Dirichlet boundary condition, a parameter and a discontinuous non-linearity. The positive parameter appears as a multiplicative term in the non-linearity, and the problem has a zero solution for any value of the parameter. The non-linearity has superlinear growth at infinity. We prove the existence of positive solutions by a topological method.
Keywords: superlinear elliptic problem, parameter, discontinuous non-linearity, positive solution, topological method.
Received: 14.12.2019
Revised: 14.07.2020
Russian version:
Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya, 2021, Volume 85, Issue 2, Pages 95–112
DOI: https://doi.org/10.4213/im9000
Bibliographic databases:
Document Type: Article
UDC: 517.95
Language: English
Original paper language: Russian
Citation: V. N. Pavlenko, D. K. Potapov, “Positive solutions of superlinear elliptic problems with discontinuous non-linearities”, Izv. RAN. Ser. Mat., 85:2 (2021), 95–112; Izv. Math., 85:2 (2021), 262–278
Citation in format AMSBIB
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\paper Positive solutions of superlinear elliptic~problems with discontinuous non-linearities
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\pages 95--112
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Linking options:
  • https://www.mathnet.ru/eng/im9000
  • https://doi.org/10.1070/IM9000
  • https://www.mathnet.ru/eng/im/v85/i2/p95
  • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
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    Abstract page:346
    Russian version PDF:68
    English version PDF:26
    Russian version HTML:113
    References:48
    First page:12
     
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