Asymptotics of solutions for fully nonlinear elliptic problems at nearly critical growth

Alessandro Musesti; Marco Squassina

doi:10.4171/ZAA/1071

Asymptotics of solutions for fully nonlinear elliptic problems at nearly critical growth

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Abstract

In this paper we deal with the study of limits of solutions of a class of fully nonlinear elliptic problems at nearly critical growth. By means of P.L. Lions' concentration-compactness principle, we prove an alternative result for the existence of non-trivial solutions of the limit problem.

Original language	English
Pages (from-to)	185-201
Number of pages	17
Journal	ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN
Volume	21
DOIs	https://doi.org/10.4171/ZAA/1071
Publication status	Published - 2002

Keywords

concentration-compactness
critical exponent
fully nonlinear

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10.4171/ZAA/1071

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title = "Asymptotics of solutions for fully nonlinear elliptic problems at nearly critical growth",

abstract = "In this paper we deal with the study of limits of solutions of a class of fully nonlinear elliptic problems at nearly critical growth. By means of P.L. Lions' concentration-compactness principle, we prove an alternative result for the existence of non-trivial solutions of the limit problem.",

keywords = "concentration-compactness, critical exponent, fully nonlinear, concentration-compactness, critical exponent, fully nonlinear",

author = "Alessandro Musesti and Marco Squassina",

year = "2002",

doi = "10.4171/ZAA/1071",

language = "English",

volume = "21",

pages = "185--201",

journal = "ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN",

issn = "0232-2064",

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T1 - Asymptotics of solutions for fully nonlinear elliptic problems at nearly critical growth

AU - Musesti, Alessandro

AU - Squassina, Marco

PY - 2002

Y1 - 2002

N2 - In this paper we deal with the study of limits of solutions of a class of fully nonlinear elliptic problems at nearly critical growth. By means of P.L. Lions' concentration-compactness principle, we prove an alternative result for the existence of non-trivial solutions of the limit problem.

AB - In this paper we deal with the study of limits of solutions of a class of fully nonlinear elliptic problems at nearly critical growth. By means of P.L. Lions' concentration-compactness principle, we prove an alternative result for the existence of non-trivial solutions of the limit problem.

KW - concentration-compactness

KW - critical exponent

KW - fully nonlinear

KW - concentration-compactness

KW - critical exponent

KW - fully nonlinear

UR - http://hdl.handle.net/10807/87007

U2 - 10.4171/ZAA/1071

DO - 10.4171/ZAA/1071

M3 - Article

SN - 0232-2064

VL - 21

SP - 185

EP - 201

JO - ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN

JF - ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN

ER -

Asymptotics of solutions for fully nonlinear elliptic problems at nearly critical growth

Abstract

Keywords

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