Nonhomogeneous equations with critical exponential growth and lack of compactness

• Autorzy: Figueiredo Giovany M. , Radulescu Vicentiu D.

Identyfikatory

DOI

10.7494/OpMath.2020.40.1.71

• Języki publikacji: EN

Abstrakty

EN

We study the existence and multiplicity of positive solutions for the following class of quasilinear problems [formula] where e∈ is a positive parameter. We assume that [formula] is a continuous potential and ƒ : R → R is a smooth reaction term with critical exponential growth.

Słowa kluczowe

EN

exponential critical growth quasilinear equation Trudinger-Moser inequality; Moser iteration

• Wydawca: AGH University of Science and Technology Press
• Czasopismo: Opuscula Mathematica
• Rocznik: 2020
• Tom: Vol. 40, no. 1
• Strony: 71--92
• Opis fizyczny: Bibliogr. 25 poz.

Twórcy

autor

Figueiredo Giovany M.

• Universidade de Brasilia - UnB Departamento de Matematica CEP: 70910-900 Brasilia-DF, Brazil

autor

Radulescu Vicentiu D.

• AGH University of Science and Technology Faculty of Applied Mathematics al. Mickiewicza 30, 30-059 Krakow, Poland
• Department of Mathematics University of Craiova 200585 Craiova, Romania
• "Simion Stoilow" Institute of Mathematics of the Romanian Academy 21 Calea Grivitei, 010702 Bucharest, Romania

Bibliografia

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• for a class of quasilinear problems with critical exponential growth in M,N, J. Differential
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Uwagi

PL

Opracowanie rekordu ze środków MNiSW, umowa Nr 461252 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2020).