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

Positive Solutions of Quasilinear Elliptic Equations with Critical Orlicz-Sobolev Nonlinearity on R^N

Nobuyoshi Fukagai, Masayuki Ito, Kimiaki Narukawa

著者情報

キーワード: Quasilinear degenerate elliptic equation, Unbounded domain, Orlicz-Sobolev, Critical exponents, Mountain pass, Concentration-compactness

ジャーナルフリー

2006 年 49 巻 2 号 p. 235-267

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

詳細

抄録

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.

責任著者(Corresponding author)

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