Adams’ type inequality and application to a quasilinear nonhomogeneous equation with singular and vanishing radial potentials in $$ \mathbb {R}^4 $$ R 4-Reference-Cited by-同舟云学术

Adams’ type inequality and application to a quasilinear nonhomogeneous equation with singular and vanishing radial potentials in $$ \mathbb {R}^4 $$ R 4

Published:2019-01-04 Issue:4 Volume:198 Page:1331-1349
ISSN:0373-3114
Container-title:Annali di Matematica Pura ed Applicata (1923 -)
language:en
Short-container-title:Annali di Matematica

Author:

Aouaoui Sami^ORCID,Albuquerque Francisco S. B.

Funder

Universidade Estadual da Paraíba

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics

Link

http://link.springer.com/content/pdf/10.1007/s10231-018-00821-w.pdf

Reference39 articles.

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

2. Adams, D.R.: A sharp inequality of J. Moser for higher order derivatives. Ann. Math. (2) 128(2), 385–398 (1988)

3. Albuquerque, F.S.B., Severo, U.B.: Stationary Schrödinger equations in $${\mathbb{R}}^{2}$$ R 2 with unbounded or vanishing potentials and involving concave nonlinearities. Complex Var. Elliptic Equ. (Online) 63, 368–390 (2018)

4. Albuquerque, F.S.B., Alves, C.O., Medeiros, E.S.: Nonlinear Schrödinger equation with unbounded or decaying radial potentials involving exponential critical growth in $${\mathbb{R}}^2$$ R 2 . J. Math. Anal. Appl. 409, 1021–1031 (2014)

5. Ambrosetti, A., Rabinowitz, P.H.: Dual variational methods in critical point theory and applications. J. Funct. Anal. 14, 349–381 (1973)

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