Some recent results on singular <i>p</i>-Laplacian equations-Reference-Cited by-同舟云学术

Some recent results on singular p-Laplacian equations

Published:2022-01-01 Issue:1 Volume:55 Page:416-428
ISSN:2391-4661
Container-title:Demonstratio Mathematica
language:en
Short-container-title:

Author:

Guarnotta Umberto¹,Livrea Roberto¹,Marano Salvatore A.²

Affiliation:

1. Dipartimento di Matematica e Informatica, Università di Palermo, Via Archirafi 34 , 90123 Palermo , Italy

2. Dipartimento di Matematica e Informatica, Università di Catania, Viale A. Doria 6 , 95125 Catania , Italy

Abstract

Abstract A short account of some recent existence, multiplicity, and uniqueness results for singular p-Laplacian problems either in bounded domains or in the whole space is performed, with a special attention to the case of convective reactions. An extensive bibliography is also provided.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/dema-2022-0031/pdf

Reference86 articles.

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2. J. Hernández and F. J. Mancebo, Singular elliptic and parabolic equations, in: M. Chipot and P. Quittner (eds), Handbook of Differential Equations, Vol. 3, Elsevier, Amsterdam, 2006, pp. 317–400.

3. V. Radulescu, Singular phenomena in nonlinear elliptic problems: from blow-up boundary solutions to equations with singular nonlinearities, in: Handbook of Differential Equations: Stationary Partial Differential Equations, Vol. IV, Elsevier/North-Holland, Amsterdam, 2007, pp. 485–593.

4. M. Ghergu and V. D. Radulescu, Singular elliptic problems: bifurcation and asymptotic analysis, Oxford Lecture Ser. Math. Appl., Vol. 37, Oxford University Press, Oxford, 2008.

5. K. Saoudi, The fibering map approach to a p(x)-Laplacian equation with singular nonlinearities and nonlinear Neumann boundary conditions, Rocky Mountain J. Math. 48 (2018), 927–946.

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