Critical fractional elliptic equations with exponential growth

Autor:	Eduardo Huerto Caqui, Hamilton Bueno, Olímpio H. Miyagaki
Rok vydání:	2021
Předmět:	Numerical Analysis Class (set theory) Pure mathematics Partial differential equation Exponential growth Applied Mathematics Spectrum (functional analysis) Mathematics::Analysis of PDEs Multiplicity (mathematics) Omega Fractional operator Analysis Mathematics
Zdroj:	Journal of Elliptic and Parabolic Equations. 7:75-99
ISSN:	2296-9039 2296-9020
DOI:	10.1007/s41808-021-00095-z
Popis:	In this paper we establish, using variational methods combined with the Moser–Trudinger inequality, existence and multiplicity of weak solutions for a class of critical fractional elliptic equations with exponential growth without a Ambrosetti–Rabinowitz-type condition. The interaction of the nonlinearities with the spectrum of the fractional operator will be used to study the existence and multiplicity of solutions. The main technical result proves that a local minimum in $$C_{s}^0 (\overline{\Omega })$$ is also a local minimum in $$W^{s,p}_0$$ for exponentially growing nonlinearities.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::f9d343f33b64ca86d161ab2e2415c0ae https://doi.org/10.1007/s41808-021-00095-z Zobrazit plný text záznamu Full text from SpringerLink