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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…
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Keywords:
subharmonic solutions;
solutions class;
ordinary laplacian;
class ordinary ... See more keywords
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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…
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Keywords:
nontrivial solutions;
solutions class;
class laplacian;
note nontrivial ... See more keywords
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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)$W^{1,p}_{0}(\Omega)\times W^{1,q}_{0}(\Omega)$.
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Keywords:
existence weak;
solutions class;
class laplacian;
weak solutions ... See more keywords
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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.
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Keywords:
systems coercive;
homoclinic solutions;
ordinary laplacian;
coercive potential ... See more keywords