Multi-peak solutions for a class of degenerate elliptic equations

Alessandro Giacomini; Marco Squassina

Multi-peak solutions for a class of degenerate elliptic equations

Alessandro Giacomini
, Marco Squassina

International School for Advanced Studies

Research output: Contribution to journal › Article

6 Citations (Scopus)

Abstract

By means of a penalization argument due to del Pino and Felmer, we prove the existence of multi-spike solutions for a class of quasilinear elliptic equations under natural growth conditions. Compared with the semilinear case some difficulties arise, mainly concerning the properties of the limit equation. The study of concentration of the solutions requires a somewhat involved analysis in which a Pucci–Serrin type identity plays an important role

Original language	English
Pages (from-to)	115-147
Number of pages	33
Journal	Asymptotic Analysis
Volume	36
Publication status	Published - 2003

Keywords

quasi-linear problems

Cite this

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title = "Multi-peak solutions for a class of degenerate elliptic equations",

abstract = "By means of a penalization argument due to del Pino and Felmer, we prove the existence of multi-spike solutions for a class of quasilinear elliptic equations under natural growth conditions. Compared with the semilinear case some difficulties arise, mainly concerning the properties of the limit equation. The study of concentration of the solutions requires a somewhat involved analysis in which a Pucci{\textendash}Serrin type identity plays an important role",

keywords = "quasi-linear problems, quasi-linear problems",

author = "Alessandro Giacomini and Marco Squassina",

year = "2003",

language = "English",

volume = "36",

pages = "115--147",

journal = "Asymptotic Analysis",

issn = "0921-7134",

publisher = "SAGE Publications Ltd",

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TY - JOUR

T1 - Multi-peak solutions for a class of degenerate elliptic equations

AU - Giacomini, Alessandro

AU - Squassina, Marco

PY - 2003

Y1 - 2003

N2 - By means of a penalization argument due to del Pino and Felmer, we prove the existence of multi-spike solutions for a class of quasilinear elliptic equations under natural growth conditions. Compared with the semilinear case some difficulties arise, mainly concerning the properties of the limit equation. The study of concentration of the solutions requires a somewhat involved analysis in which a Pucci–Serrin type identity plays an important role

AB - By means of a penalization argument due to del Pino and Felmer, we prove the existence of multi-spike solutions for a class of quasilinear elliptic equations under natural growth conditions. Compared with the semilinear case some difficulties arise, mainly concerning the properties of the limit equation. The study of concentration of the solutions requires a somewhat involved analysis in which a Pucci–Serrin type identity plays an important role

KW - quasi-linear problems

UR - http://hdl.handle.net/10807/91317

M3 - Article

SN - 0921-7134

VL - 36

SP - 115

EP - 147

JO - Asymptotic Analysis

JF - Asymptotic Analysis

ER -

Multi-peak solutions for a class of degenerate elliptic equations

Abstract

Keywords

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