An exact estimate result for a class of singular equations with critical exponents
By Yijing Sun, Shaoping Wu. 2011
75 citations recorded by the source corpus.
Abstract We consider the singular boundary value problem − Δ u = h ( x ) u γ + λ u p − 1 in Ω , u = 0 on ∂ Ω with p = 2 N / ( N − 2 ) , γ ∈ ( 0 , 1 ) . It is well known that there exists λ ⁎ > 0 such that the problem has a solution for all λ ∈ ( 0 , λ ⁎ ) and no solution for λ > λ ⁎ . We obtain an exact result for λ ⁎ ( Ω , p , γ , h ) .
Subfields: Applied Mathematics, Computational Theory and Mathematics
View Paper: https://www.semanticscholar.org/paper/a64d5ccb23ce41827a751a3511b72553430ae5ea
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In Applied Mathematics
In Computational Theory and Mathematics
Citations in the corpus
- Existence and multiplicity of positive solutions for a class of Kirchhoff type problems with singularity (2015, background): “4) has at least two solutions for μ > 0 small enough, such as [2],[6],[12],[26]-[29].”
- A multiplicity results for a singular problem involving the fractional p-Laplacian operator (2016, methodology): “Our proof is inspired by Sun and Wu [30].”