2015
DOI: 10.1080/17476933.2015.1064404
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Positive solutions for some nonlocal and nonvariational elliptic systems

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Cited by 30 publications
(4 citation statements)
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“…We present some applications of the theoretical results to nonlocal elliptic systems, where we illustrate the variety of BCs that can be approached via this method. Our results are new and complement the results of [30], by considering non-radial cases, by allowing the presence of functional BCs and by permitting, in the non-local terms of differential equations, an interaction between all the components of the system. We also improve the results in [23] in the case of local elliptic equations, by weakening the assumptions on the BCs.…”
Section: Introductionsupporting
confidence: 71%
See 1 more Smart Citation
“…We present some applications of the theoretical results to nonlocal elliptic systems, where we illustrate the variety of BCs that can be approached via this method. Our results are new and complement the results of [30], by considering non-radial cases, by allowing the presence of functional BCs and by permitting, in the non-local terms of differential equations, an interaction between all the components of the system. We also improve the results in [23] in the case of local elliptic equations, by weakening the assumptions on the BCs.…”
Section: Introductionsupporting
confidence: 71%
“…In the context of systems of nonlocal elliptic equations, we mention the papers by Chen and Gao [5] and the recent paper by doÓ et al [30]. In particular in the latter paper the authors study, in the radial case and by topological methods, the system…”
Section: Introductionmentioning
confidence: 99%
“…\end{equation}$$The analogues in the partial differential equations (PDEs) setting (that is, replacing u$u^{\prime \prime }$ with the Lapalcian normalΔu$\Delta u$ and perhaps adding some lower order terms) have also been investigated thoroughly. Some recent papers addressing (1.4) or its PDE analogue are those by Alves and Covei [4], Corrêa [15], Corrêa, Menezes, and Ferreira [16], do Ó, Lorca, Sánchez, and Ubilla [18], Goodrich [24, 25], Stańczy [62], Wang, Wang, and An [63], Yan and Ma [67], and Yan and Wang [68]. And, likewise, some recent papers addressing (1.5) or its PDE analogue are those by Afrouzi, Chung, and Shakeri [3], Ambrosetti and Arcoya [5], Azzouz and Bensedik [6], Boulaaras [9], Boulaaras and Guefaifia [10], Chung [13], Delgado, Morales‐Rodrigo, Santos Júnior, and Suárez [17], Goodrich [26], Graef, Heidarkhani, and Kong [39], Infante [43, 44], and Santos Júnior and Siciliano [61].…”
Section: Introductionmentioning
confidence: 99%
“…In the context of non-homogeneous BCs, elliptic problems in exterior domains were studied by Aftalion and Busca [2] and doÓ et al [13][14][15][16], and nonlinear BCs were investigated by Butler and others [4], Dhanya et al [9], Ko and co-authors [33], and Lee and others [40].…”
Section: Introductionmentioning
confidence: 99%