Constant-sign and nodal solutions for singular quasilinear Lane–Emden type systems
Zeitschrift für angewandte Mathematik und Physik(2024)
摘要
We establish the existence of multiple solutions for singular quasilinear Lane–Emden type systems with a precise sign information: two unique solutions of opposite constant sign and a nodal solution with at least components of opposite constant sign. For sign-coupled systems, these components are of changing and synchronized sign. The approach combines sub-supersolutions method and Leray–Schauder topological degree involving perturbation argument.
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关键词
Singularity,Lane–Emden system,Perturbation,Sub-supersolutions,Topological degree theory,35J75,35J62,35J92
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