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

2006199 citationsJournal Articlebronze Open Access

Authors

Nobuyoshi Fukagai · Tokushima University

Kimiaki Narukawa · Naruto University of Education

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.

Topics & Keywords

Nonlinear Partial Differential Equations Differential Equations and Boundary Problems Advanced Mathematical Modeling in Engineering

Publication Details

Published in: Funkcialaj Ekvacioj

Volume 49, Issue 2, pp. 235-267

DOI: 10.1619/fesi.49.235

Field-Weighted Citation Impact: 0.45

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

Authors

Abstract

Topics & Keywords

Publication Details