One-parameter Dirichlet problems on the Sierpinski gasket

Breckner, Brigitte E.; Varga, Csaba

doi:10.1016/j.amc.2012.08.020

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2016

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Cited by 2 publications

(2 citation statements)

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“…Remark 2.1. As pointed out by Falconer and Hu [11], we just observe that if a ∈ L 1 (V ) and a ≤ 0 in V then, by (5), the norm · * , defined by…”

Section: Abstract Frameworkmentioning

confidence: 88%

See 1 more Smart Citation

Existence results for nonlinear elliptic problems on fractal domains

Ferrara¹,

Bisci²,

Repovš³

2016

Advances in Nonlinear Analysis

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“…Remark 2.1. As pointed out by Falconer and Hu [11], we just observe that if a ∈ L 1 (V ) and a ≤ 0 in V then, by (5), the norm · * , defined by…”

Section: Abstract Frameworkmentioning

confidence: 88%

“…Successively, Breckner, Rȃdulescu, and Varga [7] proved the existence of infinitely many solutions of problem (S f,g a,1 ) under the key assumption that the nonlinearity f is non-positive in a sequence of positive intervals (see Remark 3.2). See also the papers [2,3,4,5,6,16] and references therein for related topics.…”

Section: Introductionmentioning

confidence: 99%