Positive Solution to Singular Elliptic Problems with Subcritical nonlinearities

In this paper, we study the existence of a non-trivial weak solution to the following singular elliptic equations with subcritical nonlinearities: where Ω ⊂ℝ is an open bounded domain with boundary, θ, λ > 0, 0< < 1, , N ≥ 3, 0 ∈ Ω and 0 ≤ (Ω). We show that there exists a solution to this p...

Full description

Saved in:
Bibliographic Details
Published inNonautonomous Dynamical Systems Vol. 6; no. 1; pp. 99 - 107
Main Author Kumar, Dharmendra
Format Journal Article
LanguageEnglish
Published De Gruyter Open 31.12.2019
De Gruyter
Subjects
Hardy potential
Nonlinear elliptic equation
positive solution
Primary 35J05, 35J25
Secondary 46E35
Online AccessGet full text

Cover

More Information
Summary:In this paper, we study the existence of a non-trivial weak solution to the following singular elliptic equations with subcritical nonlinearities: where Ω ⊂ℝ is an open bounded domain with boundary, θ, λ > 0, 0< < 1, , N ≥ 3, 0 ∈ Ω and 0 ≤ (Ω). We show that there exists a solution to this problem.
ISSN:2353-0626
2353-0626
DOI:10.1515/msds-2019-0007