Two solutions for inhomogeneous fully nonlinear elliptic equations at critical growth

Marco Squassina

doi:10.1007/s00030-003-1046-5

Two solutions for inhomogeneous fully nonlinear elliptic equations at critical growth

Marco Squassina

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

9 Citations (Scopus)

Abstract

The existence of two nontrivial solutions for a class of fully nonlinear problems at critical growth with perturbations of lower order is proved. The first solution is obtained via a local minimization argument while the second solution follows by a non-smooth mountain pass theorem.

Original language	English
Pages (from-to)	53-71
Number of pages	19
Journal	NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS
Volume	11
DOIs	https://doi.org/10.1007/s00030-003-1046-5
Publication status	Published - 2004

Keywords

quasilinear problems

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10.1007/s00030-003-1046-5

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title = "Two solutions for inhomogeneous fully nonlinear elliptic equations at critical growth",

abstract = "The existence of two nontrivial solutions for a class of fully nonlinear problems at critical growth with perturbations of lower order is proved. The first solution is obtained via a local minimization argument while the second solution follows by a non-smooth mountain pass theorem.",

keywords = "quasilinear problems, quasilinear problems",

author = "Marco Squassina",

year = "2004",

doi = "10.1007/s00030-003-1046-5",

language = "English",

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publisher = "Birkhaeuser Verlag AG:Viaduktstrasse 42-44, CH 4051 Basel Switzerland:011 41 61 2050707, EMAIL: [email protected], INTERNET: http://www.birkhauser.ch, Fax: 011 41 61 2050792",

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TY - JOUR

T1 - Two solutions for inhomogeneous fully nonlinear elliptic equations at critical growth

AU - Squassina, Marco

PY - 2004

Y1 - 2004

N2 - The existence of two nontrivial solutions for a class of fully nonlinear problems at critical growth with perturbations of lower order is proved. The first solution is obtained via a local minimization argument while the second solution follows by a non-smooth mountain pass theorem.

AB - The existence of two nontrivial solutions for a class of fully nonlinear problems at critical growth with perturbations of lower order is proved. The first solution is obtained via a local minimization argument while the second solution follows by a non-smooth mountain pass theorem.

KW - quasilinear problems

UR - http://hdl.handle.net/10807/92796

U2 - 10.1007/s00030-003-1046-5

DO - 10.1007/s00030-003-1046-5

M3 - Article

SN - 1021-9722

VL - 11

SP - 53

EP - 71

JO - NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS

JF - NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS

ER -

Two solutions for inhomogeneous fully nonlinear elliptic equations at critical growth

Abstract

Keywords

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