EXISTENCE AND MULTIPLICITY OF SOLUTIONS TO A CLASS OF NONCOOPERATIVE ELLIPTIC SYSTEMS WITH SUPERLINEAR NONLINEAR TERMS

DOI10.11948/2156-907X.20180240zbMath1465.35195MaRDI QIDQ5859403

Xiao-Feng Ke, Chun-Lei Tang

Publication date: 16 April 2021

Published in: Journal of Applied Analysis & Computation (Search for Journal in Brave)

zbMATH Keywords

existence of solutionssemilinear elliptic system

Mathematics Subject Classification ID

Existence problems for PDEs: global existence, local existence, non-existence (35A01) Semilinear elliptic equations (35J61) Boundary value problems for second-order elliptic systems (35J57)

Cites Work

• Unnamed Item
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• Some results on weighted subquadratic Lane-Emden elliptic systems in unbounded domains
• Some new results on subquadratic Lane-Emden elliptic systems
• On a new class of elliptic systems with nonlinearities of arbitrary growth
• A note on the Ambrosetti-Rabinowitz condition for an elliptic system
• Multiple solutions for elliptic systems with nonlinearities of arbitrary growth
• Infinitely many solutions for symmetric and non-symmetric elliptic systems
• Singular solutions of the \(p\)-Laplace equation
• Existence and uniqueness of positive solutions to certain differential systems
• Existence and multiplicity results for some Lane-Emden elliptic systems: subquadratic case
• Differential systems with strongly indefinite variational structure
• Elliptic systems with nonlinearities of arbitrary growth
• Travelling Waves in a Suspension Bridge
• Abstract critical point theorems and applications to some nonlinear problems with “strong” resonance at infinity
• Positive splutions of semilinear elliptic systems
• A rellich type identity and applications
• On Superquadratic Elliptic Systems
• Large-Amplitude Periodic Oscillations in Suspension Bridges: Some New Connections with Nonlinear Analysis

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