Positive Radial Solutions of the p-Laplacian in an Annulus with a Superlinear Nonlinearity with Zeros
Journal of Advances in Mathematics and Computer Science · pp. 429–438 · Published 14 Nov 2014
10.9734/BJMCS/2015/13254Abstract
In this paper, we study existence, and the asymptotic behavior, with respect to λ , of positive radially symmetric solutions of −ΔΡu = λh(x; u) in annular domains in RN;N ≥ 2. The nonlinear term has a superlinear local growth at infinity, and is nonnegative.
References (19)
- 1 Nonlinear Functional Analysis [DOI]
- 2 Nonlinear Problems in Abstract Cones [DOI]
- 3 Positive Solutions of Operator Equations. [DOI]
- 4 Fixed Point Equations and Nonlinear Eigenvalue Problems in Ordered Banach Spaces [DOI]
- 5 Positive solutions of semilinear elliptic problems [DOI]
- 6 Uniqueness of positive solutions for quasilinear elliptic equations when a parameter is large [DOI]
- 7 An existence result on positive solutions for a class of p-Laplacian systems [DOI]
- 8 Some existence and multiplicity results for a class of quasilinear elliptic eigenvalue problems [DOI]
- 9 Positive Solutions of Quasilinear Boundary Value Problems [DOI]
- 10 Positive solutions of the p-Laplacian involving a superlinear nonlinearity with zeros [DOI]
- 11 Nontrivial solutions for p-Laplacian systems [DOI]
- 12 Positive solutions for an elliptic equation in an annulus with a superlinear nonlinearity with zeros [DOI]
- 13 On the number of positive solutions for quasilinear elliptic eigenvalue problems [DOI]
- 14 Non-Negative Solutions for a Class of Radially Symmetric Non-Positone Problems [DOI]
- 15 Existence of positive entire solutions for singular and non-singular quasi-linear elliptic equation [DOI]
- 16 Nonexistence of nonnegative solutions for a class of (p−1) -superhomogeneous semipositone problems [DOI]
- 17 A priori estimates for a semilinear elliptic PDE [DOI]
- 18 A priori estimates and uniqueness of inflection points for positive solutions of semipositone problems [DOI]
- 19 Existence and nonexistence results for quasilinear semipositone Dirichlet problems
Cited by 3
Anderson L. A. de Araujo · São Paulo Journal of Mathematical Sciences · 2024
Showing 1 of 3 known citations — external sources report more than can currently be individually listed.
Article metrics
Real usage data collected on this platform.
5
Page views
0
PDF downloads
0
Outbound clicks
3
Citations
Views over time
Views by country
Approximate, from request IP at view time — not citizenship or institution. Countries with fewer than 5 views are grouped as "Other".
Traffic sources
Referring site, by host.
Views and downloads exclude known bots/crawlers. Citations combines this platform's own DOI-resolved index with each external source's own reported total — see Cited by above for individually listed citing works. Last refreshed 0 seconds ago.