MULTIPLICITY OF SOLUTIONS FOR SEMILINEAR ELLIPTIC PROBLEMS WITH COMBINED NONLINEARITIES
Copyright policy )MULTIPLICITY OF SOLUTIONS FOR SEMILINEAR ELLIPTIC PROBLEMS WITH COMBINED NONLINEARITIES
In this paper, we are concerned with the semilinear elliptic problem [Formula: see text] where Ω is a bounded smooth domain in Rm(m ≥ 2), h ∈ L∞(Ω), h(x) ≢ 0, 1 < q < 2, [Formula: see text]. When the nonlinearity f satisfies the Ambrosetti–Prodi type condition at infinity, two multiplicity results are established by using a combination of variational methods, upper and lower solutions, Leray–Schauder degree theory and suitable truncation techniques.
- Jilin University China (People's Republic of)
- Nankai University China (People's Republic of)
- Jilin University China (People's Republic of)
Ambrosetti-Prodi type condition, Variational methods for second-order elliptic equations, Boundary value problems for second-order elliptic equations, semilinear elliptic problem, combined nonlinearities, multiplicity, Nonlinear elliptic equations
Ambrosetti-Prodi type condition, Variational methods for second-order elliptic equations, Boundary value problems for second-order elliptic equations, semilinear elliptic problem, combined nonlinearities, multiplicity, Nonlinear elliptic equations
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).4 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Average influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Average impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Average
Citations provided by BIP!Popularity provided by BIP!