IMPROVED BOUNDS FOR SOLUTIONS OF phi-LAPLACIANS

被引：1

作者：

Arriagada, Waldo ^{[1
]}

Huentutripay, Jorge ^{[2
]}

机构：

[1] Khalifa Univ, Dept Appl Math & Sci, POB 127788, Abu Dhabi, U Arab Emirates

[2] Univ Austral Chile, Inst Ciencias Fis & Matemat, Campus Isla Teja, Valdivia, Chile

来源：

OPUSCULA MATHEMATICA | 2018年 / 38卷 / 06期

关键词：

Orlicz-Sobolev space; Harnack inequality; phi-Laplacian;

D O I：

10.7494/OpMath.2018.38.6.765

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this short paper we prove a parametric version of the Harnack inequality for phi-Laplacian equations. In this sense, the estimates are optimal and represent an improvement of previous bounds for this kind of operators.

引用

页码：765 / 777

页数：13

共 16 条

[1]

Adams R., 2003, PURE APPL MATH

[2] A Harnack inequality in Orlicz-Sobolev spaces [J].

Arriagad, Waldo ;

Huentutripay, Jorge .

STUDIA MATHEMATICA, 2018, 243 (02) :117-137

[3] Regularity, positivity and asymptotic vanishing of solutions of a φ-Laplacian [J].

Arriagada, Waldo ;

Huentutripay, Jorge .

ANALELE STIINTIFICE ALE UNIVERSITATII OVIDIUS CONSTANTA-SERIA MATEMATICA, 2017, 25 (03) :59-72

[4]

Brezis H., 1983, ANAL FONCTIONNELLE T

[5]

Di Benedetto E., 2010, PARTIAL DIFFERENTIAL, VSecond

[6]

Fucik S., 1978, NONLINEAR ANAL FUNCT, V1, P59

[7]

Giaquinta, 1983, MULTIPLE INTEGRALS C

[8]

Gilbarg D., 1983, ELLIPTIC PARTIAL DIF, DOI [10.1007/978-3-642-61798-0, DOI 10.1007/978-3-642-61798-0]

[9] One-dimensional singular problems involving the p-Laplacian and nonlinearities indefinite in sign [J].

Kaufmann, Uriel ;

Medri, Ivan .

ADVANCES IN NONLINEAR ANALYSIS, 2016, 5 (03) :251-259

[10]

Krasnoselskii M.A., 1961, CONVEX FUNCTIONS ORL

← 1 2 →