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Positive solutions of superlinear elliptic problems with discontinuous non-linearities. / Pavlenko, V. N.; Potapov, D. K.

In: Izvestiya Mathematics, Vol. 85, No. 2, 04.2021, p. 262-278.

Research output: Contribution to journal › Article › peer-review

Harvard

Pavlenko, VN & Potapov, DK 2021, 'Positive solutions of superlinear elliptic problems with discontinuous non-linearities', Izvestiya Mathematics, vol. 85, no. 2, pp. 262-278. https://doi.org/10.1070/im9000

APA

Pavlenko, V. N., & Potapov, D. K. (2021). Positive solutions of superlinear elliptic problems with discontinuous non-linearities. Izvestiya Mathematics, 85(2), 262-278. https://doi.org/10.1070/im9000

Vancouver

Pavlenko VN, Potapov DK. Positive solutions of superlinear elliptic problems with discontinuous non-linearities. Izvestiya Mathematics. 2021 Apr;85(2):262-278. https://doi.org/10.1070/im9000

Author

Pavlenko, V. N. ; Potapov, D. K. / Positive solutions of superlinear elliptic problems with discontinuous non-linearities. In: Izvestiya Mathematics. 2021 ; Vol. 85, No. 2. pp. 262-278.

BibTeX

@article{1ea2ec98c68c49a9bca84b0cac11a63e,
title = "Positive solutions of superlinear elliptic problems with discontinuous non-linearities",
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 = "discontinuous non-linearity, parameter, positive solution, superlinear elliptic problem, topological method, EXISTENCE, EQUATIONS",
author = "Pavlenko, {V. N.} and Potapov, {D. K.}",
note = "Publisher Copyright: {\textcopyright} 2021 Russian Academy of Sciences (DoM) and London Mathematical Society. Copyright: Copyright 2021 Elsevier B.V., All rights reserved.",
year = "2021",
month = apr,
doi = "10.1070/im9000",
language = "English",
volume = "85",
pages = "262--278",
journal = "Izvestiya Mathematics",
issn = "1064-5632",
publisher = "IOP Publishing Ltd.",
number = "2",

}

RIS

TY - JOUR

T1 - Positive solutions of superlinear elliptic problems with discontinuous non-linearities

AU - Pavlenko, V. N.

AU - Potapov, D. K.

N1 - Publisher Copyright: © 2021 Russian Academy of Sciences (DoM) and London Mathematical Society. Copyright: Copyright 2021 Elsevier B.V., All rights reserved.

PY - 2021/4

Y1 - 2021/4

N2 - 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.

AB - 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.

KW - discontinuous non-linearity

KW - parameter

KW - positive solution

KW - superlinear elliptic problem

KW - topological method

KW - EXISTENCE

KW - EQUATIONS

UR - http://www.scopus.com/inward/record.url?scp=85105079693&partnerID=8YFLogxK

UR - https://www.mendeley.com/catalogue/450de791-11fd-3f87-ab44-f6ea79f594aa/

U2 - 10.1070/im9000

DO - 10.1070/im9000

M3 - Article

AN - SCOPUS:85105079693

VL - 85

SP - 262

EP - 278

JO - Izvestiya Mathematics

JF - Izvestiya Mathematics

SN - 1064-5632

IS - 2

ER -

ID: 76837280