Singular Hamiltonian elliptic systems with critical exponential growth in dimension two

Sergio H. Monari Soares; Yony R. Santaria Leuyacc

doi:10.1002/mana.201700215

Singular Hamiltonian elliptic systems with critical exponential growth in dimension two

Sergio H. Monari Soares, Yony R. Santaria Leuyacc

Research output: Contribution to journal › Article › peer-review

9 Scopus citations

Abstract

We will focus on the existence of nontrivial solutions to the following Hamiltonian elliptic system (Formula presented.) where a,b are numbers belonging to the interval [0, 2), V is a continuous potential bounded below on R² by a positive constant and the functions f and g possess exponential growth range established by Trudinger–Moser inequalities in Lorentz–Sobolev spaces. The proof involves linking theorem and a finite-dimensional approximation.

Original language	English
Pages (from-to)	137-158
Number of pages	22
Journal	Mathematische Nachrichten
Volume	292
Issue number	1
DOIs	https://doi.org/10.1002/mana.201700215
State	Published - Jan 2019
Externally published	Yes

Bibliographical note

Publisher Copyright:
© 2018 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim

Keywords

35J75; Secondary: 35J50
Primary: 35J15
Trudinger–Moser inequalities in Lorentz–Sobolev spaces
critical exponential growth
singular Hamiltonian elliptic systems

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10.1002/mana.201700215

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title = "Singular Hamiltonian elliptic systems with critical exponential growth in dimension two",

abstract = "We will focus on the existence of nontrivial solutions to the following Hamiltonian elliptic system (Formula presented.) where a,b are numbers belonging to the interval [0, 2), V is a continuous potential bounded below on R2 by a positive constant and the functions f and g possess exponential growth range established by Trudinger–Moser inequalities in Lorentz–Sobolev spaces. The proof involves linking theorem and a finite-dimensional approximation.",

keywords = "35J75; Secondary: 35J50, Primary: 35J15, Trudinger–Moser inequalities in Lorentz–Sobolev spaces, critical exponential growth, singular Hamiltonian elliptic systems",

author = "{Monari Soares}, {Sergio H.} and {Santaria Leuyacc}, {Yony R.}",

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T1 - Singular Hamiltonian elliptic systems with critical exponential growth in dimension two

AU - Monari Soares, Sergio H.

AU - Santaria Leuyacc, Yony R.

PY - 2019/1

Y1 - 2019/1

N2 - We will focus on the existence of nontrivial solutions to the following Hamiltonian elliptic system (Formula presented.) where a,b are numbers belonging to the interval [0, 2), V is a continuous potential bounded below on R2 by a positive constant and the functions f and g possess exponential growth range established by Trudinger–Moser inequalities in Lorentz–Sobolev spaces. The proof involves linking theorem and a finite-dimensional approximation.

AB - We will focus on the existence of nontrivial solutions to the following Hamiltonian elliptic system (Formula presented.) where a,b are numbers belonging to the interval [0, 2), V is a continuous potential bounded below on R2 by a positive constant and the functions f and g possess exponential growth range established by Trudinger–Moser inequalities in Lorentz–Sobolev spaces. The proof involves linking theorem and a finite-dimensional approximation.

KW - 35J75; Secondary: 35J50

KW - Primary: 35J15

KW - Trudinger–Moser inequalities in Lorentz–Sobolev spaces

KW - critical exponential growth

KW - singular Hamiltonian elliptic systems

UR - http://www.scopus.com/inward/record.url?scp=85052688914&partnerID=8YFLogxK

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DO - 10.1002/mana.201700215

M3 - Artículo

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SN - 0025-584X

VL - 292

SP - 137

EP - 158

JO - Mathematische Nachrichten

JF - Mathematische Nachrichten

IS - 1

ER -

Singular Hamiltonian elliptic systems with critical exponential growth in dimension two

Abstract

Bibliographical note

Keywords

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