Nonlocal Kirchhoff problems with Trudinger–Moser critical nonlinearities

Author:

Miyagaki Olímpio H.,Pucci PatriziaORCID

Funder

INCTmat/MCT/Brazil

Gruppo Nazionale per l’Analisi Matematica, la Probabilità e le loro Applicazioni

MIUR project

CNPq/Brazil

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Analysis

Reference63 articles.

1. Adachi, S., Tanaka, K.: Trudinger type inequalities in $$\mathbb{R}^N$$ and their best exponents. Proc. Am. Math. Soc. 128, 2051–2057 (2000)

2. Adimurthi, Yadava, S.L.: Multiplicity results for semilinear elliptic equations in a bounded domain of $$\mathbb{R}^2$$ involving critical exponent. Ann. Sc. Norm. Super. Pisa Cl. Sci. 17, 481–504 (1990)

3. Alves, C.O., Corrêa, F.J.S.A., Figueiredo, G.M.: On a class of nonlocal elliptic problems with critical growth. Differ. Equ. Appl. 2, 409–417 (2010)

4. Alves, C.O., Corrêa, F.J.S.A., Ma, T.F.: Positive solutions for a quasilinear elliptic equation of Kirchhoff type. Comput. Math. Appl. 49, 85–93 (2005)

5. Alves, C., do Ó, J.M., Miyagaki, O.: On nonlinear perturbations of a periodic elliptic problem in $$\mathbb{R}^2$$ involving critical growth. Nonlinear Anal. 56, 781–791 (2004)

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