Ground states for a nonhomogeneous elliptic system involving Hardy–Sobolev critical exponents
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DOI: 10.1002/mana.201500348
Abstract: This paper studies the following nonhomogeneous elliptic system involving Hardy–Sobolev critical exponents Δu+λ1up−1|x|s+μ1u2*(s1)−1|x|s1+αγ2*(s2)uα−1vβ|x|s2=0inΩ,Δv+λ2vp−1|x|s+μ2v2*(s1)−1|x|s1+βγ2*(s2)uαvβ−1|x|s2=0inΩ,u≥0,v≥0inΩ,u=0,v=0on∂Ω, where λ1,λ2,μ1,μ2,γ>0,2 1,α+β=2*(s2), Ω is a C1 open bounded domain in RN containing the origin, and N≥4. The existence result of positive… read more here.
Keywords: elliptic system; system involving; sobolev critical; hardy sobolev ... See more keywords
Minerals with Brackebuschite-Like Structures: A Novel Solid Solution System Involving Cr6+ and V5+
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DOI: 10.1134/s1075701517070042
Abstract: A novel complex continuous system of solid solutions involving vauquelinite Pb2Cu(CrO4)(PO4)(OH), bushmakinite Pb2Al(VO4)(PO4)(OH), ferribushmakinite Pb2Fe3+(VO4)(PO4)(OH), and a phase with the endmember formula Pb2Cu(VO4)(PO4)(H2O) or Pb2Cu(VO4)(РО3ОН)(ОН) is studied based on samples from the oxidation zone of… read more here.
Keywords: po4; system; system involving; solution system ... See more keywords
Positive solutions of nonlocal integral BVPS for the nonlinear coupled system involving high-order fractional differential
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DOI: 10.1515/ms-2016-0281
Abstract: Abstract In the paper, we investigate a class of four-point integral boundary value problems for the nonlinear coupled system involving higher-order Caputo fractional derivatives and Riemann-Stieltjes integral boundary conditions. By employing Guo-Krasnoselskii fixed point theorem,… read more here.
Keywords: order; system; system involving; positive solutions ... See more keywords