Articles with "laplacian systems" as a keyword



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Subharmonic solutions for a class of ordinary p-Laplacian systems∗

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Published in 2018 at "Lithuanian Mathematical Journal"

DOI: 10.1007/s10986-018-9393-4

Abstract: In this paper, we study the existence of subharmonic solutions for ordinary p-Laplacian systems under a new growth condition. An existence theorem is obtained by using the generalized mountain pass theorem, which generalizes and improves… read more here.

Keywords: subharmonic solutions; solutions class; ordinary laplacian; class ordinary ... See more keywords
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Note on nontrivial solutions for a class of p-Laplacian systems

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Published in 2017 at "Journal of Mathematical Analysis and Applications"

DOI: 10.1016/j.jmaa.2017.03.041

Abstract: Abstract We prove the existence of nonzero positive solutions of the p -Laplacian system { − Δ p u i = f i ( x , u )  in  Ω , i ∈ { 1… read more here.

Keywords: nontrivial solutions; solutions class; class laplacian; note nontrivial ... See more keywords
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Existence of weak solutions for a class of (p,q)$(p,q)$-Laplacian systems

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Published in 2017 at "Boundary Value Problems"

DOI: 10.1186/s13661-017-0897-3

Abstract: The existence of weak solutions for a class of (p,q)$(p,q)$-Laplacian systems is obtained by using a new linking theorem on the product space W01,p(Ω)×W01,q(Ω)$W^{1,p}_{0}(\Omega)\times W^{1,q}_{0}(\Omega)$. read more here.

Keywords: existence weak; solutions class; class laplacian; weak solutions ... See more keywords
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Homoclinic solutions for ordinary (q, p)-Laplacian systems with a coercive potential

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Published in 2017 at "Mathematica Slovaca"

DOI: 10.1515/ms-2016-0285

Abstract: Abstract A result for the existence of homoclinic orbits is obtained for (q, p)-Laplacian systems. read more here.

Keywords: systems coercive; homoclinic solutions; ordinary laplacian; coercive potential ... See more keywords