Positive Solutions of Quasilinear Elliptic Equations with Critical Orlicz-Sobolev Nonlinearity on RN

Nobuyoshi Fukagai; Masayuki Ito; Kimiaki Narukawa

doi:10.1619/fesi.49.235

Funkcialaj Ekvacioj

Print ISSN : 0532-8721

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Volume 49 (2006) Issue 2
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Positive Solutions of Quasilinear Elliptic Equations with Critical Orlicz-Sobolev Nonlinearity on R^N

Nobuyoshi Fukagai, Masayuki Ito, Kimiaki Narukawa

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Keywords: Quasilinear degenerate elliptic equation, Unbounded domain, Orlicz-Sobolev, Critical exponents, Mountain pass, Concentration-compactness

JOURNAL FREE ACCESS

2006 Volume 49 Issue 2 Pages 235-267

DOI https://doi.org/10.1619/fesi.49.235

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Abstract

A nonnegative nontrivial solution of the quasilinear elliptic differential equation (1.1) below on the entire space is obtained. The function φ(t)t in the principal part is nonhomogeneous and b(t)t has the critical Orlicz-Sobolev growth with respect to φ.

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