Existence and non-existence results for variational higher order elliptic systems

Schiera, Delia

doi:10.3934/dcds.2018227

Cited by 3 publications

(3 citation statements)

References 27 publications

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“…Assume that (p + 1)/p, (q + 1)/q < N 2s . For Theorems 1.4, 1.6, by some regularity results in [4,26,33] and bootstrap argument, we can conclude u, v ∈ C s (Ω) ∩ C α δ (Ω), see [34,Remark 2]. Remark 1.10.…”

Section: Fractional Hamiltonian Systemmentioning

confidence: 91%

School of Mechanical Engineering, Shanghai Jiao Tong University, 200240, Shanghai, China

Zhuang

Huang

et al. 2019

Mathematical Biosciences and Engineering

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The crystallization kinetics and melting behavior of nylon 10,10 in neat nylon 10,10 and in nylon 10,10 -montmorillonite (MMT) nanocomposites were systematically investigated by differential scanning calorimetry. The crystallization kinetics results show that the addition of MMT facilitated the crystallization of nylon 10,10 as a heterophase nucleating agent; however, when the content of MMT was high, the physical hindrance of MMT layers to the motion of nylon 10,10 chains retarded the crystallization of nylon 10,10, which was also confirmed by polarized optical microscopy. However, both nylon 10,10 and nylon 10,10 -MMT nanocomposites exhibited multiple melting be-havior under isothermal and nonisothermal crystallization conditions. The temperature of the lower melting peak (peak I) was independent of MMT content and almost remained constant; however, the temperature of the highest melting peak (peak II) decreased with increasing MMT content due to the physical hindrance of MMT layers to the motion of nylon 10,10 chains.

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Section: Fractional Hamiltonian Systemmentioning

confidence: 91%

School of Mechanical Engineering, Shanghai Jiao Tong University, 200240, Shanghai, China

Zhuang

Huang

et al. 2019

Mathematical Biosciences and Engineering

View full text Add to dashboard Cite

show abstract

“…Nonexistence results above the critical curve for (9), in the variational case m = 2, α 1 = α 2 have been established in [15]. Existence of solutions below the critical curve follows buying the line of [7], as it has been detailed in [21] where also the non-variational case is tackled.…”

Section: Introductionmentioning

confidence: 99%

“…Choose λ, s such thatw(r) = λ s w(λr) satisfies (20) on B 1/λ and u(0) = w(0). We want to prove that(21) ∆ k u(0) = ∆ kw (0), k = 0, . .…”

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confidence: 99%