Abstract
It is proved that the semilinear elliptic problem with zero boundary value −Δu=λu−|u|q−1 u has a changing sign solution, as q∈(0,1) and λ>λ2, where λ2 is the second eigenvalue of the operator −Δ in the space H 10 (Ω).
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References
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This research is supported by NNSFC (19771072) and ZNSF. And thanks to JNCASR in India For their host when the first author is working on this paper.
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Shaoping, W., Yijing, S. A sign-changing solution for elliptic equation with sublinear term at origin. Appl. Math.- J. Chin. Univ. 16, 11–18 (2001). https://doi.org/10.1007/s11766-001-0032-0
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DOI: https://doi.org/10.1007/s11766-001-0032-0