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Języki publikacji
Abstrakty
In this article, we prove existence of radial solutions for a nonlinear elliptic equation with nonlinear nonlocal boundary conditions. Our method is based on some fixed point theorem in a cone.
Czasopismo
Rocznik
Tom
Strony
675--687
Opis fizyczny
Bibliogr. 30 poz.
Twórcy
autor
- Lodz University of Technology, Institute of Mathematics, al. Politechniki 8, 93-590 Łódź, Poland
Bibliografia
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- [5] W.A. Day, Heat Conduction within Linear Thermoelastacity, Springer Tracts in Natural Philosophy, vol. 30, Springer-Verlag, New York, 1982.
- [6] R. Enguica, L. Sanchez, Radial solutions for a nonlocal boundary value problem, Bound. Value Probl. 2006 (2006), Article no. 32950.
- [7] P. Fijałkowski, B. Przeradzki, On a boundary value problem for a nonlocal elliptic equation, J. Appl. Anal. 9 (2003), no. 2, 201–209.
- [8] P. Fijałkowski, B. Przeradzki, On a radial positive solution to a nonlocal elliptic equation, Topol. Methods Nonlinear Anal. 21 (2003), no. 2, 293–300.
- [9] A. Friedman, Monotonic decay of solutions of parabolic equations with nonlocal boundary conditions, Quart. Appl. Math. 44 (1986), no. 3, 401–407.
- [10] X. Garaizar, Existence of positive radial solutions for semilinear elliptic equations in the annulus, J. Differential Equations 70 (1987), no. 1, 69–92.
- [11] D. Guo, V. Lakshmikantham, Nonlinear Problems in Abstract Cones, Academic Press, Inc., Boston, 1988.
- [12] G. Infante, Nonzero positive solutions of a multi-parameter elliptic system with functional BCs, Topol. Methods Nonlinear Anal. 52 (2018), 665–675.
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- [14] G.L. Karakostas, P.Ch. Tsamatos, On a nonlocal boundary value problem at resonance, J. Math. Anal. Appl. 259 (2001), no. 1, 209–218.
- [15] G.L. Karakostas, P.Ch. Tsamatos, Sufficient conditions for the existence of nonnegative solutions of a nonlocal boundary value problem, Appl. Math. Lett. 15 (2002), 401–407.
- [16] M. Krukowski, Arzelà-Ascoli’s theorem in uniform spaces, Discrete Contin. Dyn. Syst. Ser. B 23 (2018), no. 1, 283–294.
- [17] M. Krukowski, Arzelà-Ascoli’s theorem via the Wallman compactification, Quaest. Math. 41 (2018), no. 3, 349–357.
- [18] S. Lin, On the existence of positive radial solutions for nonlinear elliptic equations in annular domains, J. Differential Equations 81 (1989), no. 2, 221–233.
- [19] O. Nica, Initial-value problems for first-order differential systems with general nonlocal conditions, Electron. J. Differential Equations (2012), no. 74, 1–15.
- [20] O. Nica, Nonlocal initial value problems for first order differential systems, Fixed Point Theory 13 (2012), no. 2, 603–612.
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- [22] R. Stańczy, Decaying solutions for semilinear elliptic equations in exterior domains, Topol. Methods Nonlinear Anal. 14 (1999), no. 2, 363–370.
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Uwagi
Opracowanie rekordu ze środków MEiN, umowa nr SONP/SP/546092/2022 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2022-2023)
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-9bc7c589-4300-44fc-8b5f-c389ca1b8ca1