Solutions with prescribed number of nodes to superlinear elliptic systems.

DOI10.1016/j.na.2003.07.014zbMath1073.35078OpenAlexW2050786518MaRDI QIDQ1413961

Zhongwei Tang, Dao-Min Cao

Publication date: 17 November 2003

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2003.07.014

zbMATH Keywords

critical pointvariational methodnodal solutionssuperlinear elliptic systems

Mathematics Subject Classification ID

Related Items (8)

Multiplicity of small negative-energy solutions for a class of semilinear elliptic systems ⋮ Ground state solutions for a class of semilinear elliptic systems with sum of periodic and vanishing potentials ⋮ Solutions with a prescribed number of zeros for nonlinear Schrödinger systems ⋮ Existence results for some nonlinear elliptic systems ⋮ Sign-changing solutions of critical growth nonlinear elliptic systems ⋮ The existence of solutions for a class of semilinear elliptic systems ⋮ Ground state of semilinear elliptic systems with sum of periodic and Hardy potentials ⋮ Existence of infinitely many high energy solutions for a class of fractional Schrödinger systems

Cites Work

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• Characteristic values associated with a class of nonlinear second-order differential equations
• Nodal solutions of elliptic equations with critical Sobolev exponents
• Existence of solitary waves in higher dimensions
• Infinitely many radial solutions of a semilinear elliptic problem on \(\mathbb{R}^ N\)
• Some existence results for superlinear elliptic boundary value problems involving critical exponents
• Infinitely many radial solutions to elliptic problems with critical Sobolev and Hardy terms
• Solutions of prescribed number of zeroes to a class of superlinear ODE's systems

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