Existence of infinitely many positive radial solutions for an iterative system of nonlinear elliptic equations on an exterior domain

DOI10.1007/s13370-022-01027-3OpenAlexW4295847316MaRDI QIDQ2081575

Mahammad Khuddush, K. Rajendra Prasad

Publication date: 13 October 2022

Published in: Afrika Matematika (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13370-022-01027-3

zbMATH Keywords

exterior domainKrasnoselskii's fixed point theoremnonlinear elliptic systemspositive radial solution

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Nonlinear elliptic equations (35J60) Positive solutions to nonlinear boundary value problems for ordinary differential equations (34B18) Nonlinear boundary value problems for nonlinear elliptic equations (35J66)

Cites Work

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• Multiple positive solutions for classes of elliptic systems with combined nonlinear effects.
• Positive solutions for \(n\times n\) elliptic systems with combined nonlinear effects.
• Uniqueness of positive solutions for semilinear elliptic systems
• Uniqueness of positive solutions for a class of semipositone elliptic systems
• Uniqueness of positive radial solutions of \(\Delta{} u + g(r)u + h(r)u^ p = 0\) in \(\mathbb{R}{}^ n\)
• Positive solutions of semilinear differential equations with singularities
• Existence and uniqueness of positive solutions of semilinear elliptic systems
• Positive solutions for an iterative system of nonlinear elliptic equations
• Global existence and blowup of solutions for a semilinear Klein-Gordon equation with the product of logarithmic and power-type nonlinearity
• Investigation of the \(p\)-Laplacian nonperiodic nonlinear boundary value problem via generalized Caputo fractional derivatives
• Positive radial solutions to classes of nonlinear elliptic systems on the exterior of a ball
• Existence of radial solutions for nonlinear elliptic equations with gradient terms in annular domains
• Existence of positive radial solutions for a semipositone elliptic equation
• An existence result on positive solutions for a class of semilinear elliptic systems
• Structure of positive radial solutions of a quasilinear elliptic problem with singular nonlinearity