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On a critical elliptic system with concave–convex nonlinearities
Rendiconti del Circolo Matematico di Palermo Series 2, 2023zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Rachid Echarghaoui, Zakaria Zaimi
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Multiplicity Results of a Nonlocal Problem Involving Concave-Convex Nonlinearities
Mathematical Notes, 2021zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Daoues, A., Hammami, A., Saoudi, K.
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Quasilinear elliptic problems with concave–convex nonlinearities
Communications in Contemporary Mathematics, 2017In this paper, the existence and multiplicity of solutions for a quasilinear elliptic problem driven by the [Formula: see text]-Laplacian operator is established. These solutions are also built as ground state solutions using the Nehari method. The main difficulty arises from the fact that the [Formula: see text]-Laplacian operator is not homogeneous ...
Carvalho, M. L. M. +2 more
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Multiple Solutions for Discrete Schrödinger Equations with Concave–Convex Nonlinearities
Bulletin of the Malaysian Mathematical Sciences Society, 2022zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Fan, Yumiao, Xie, Qilin
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Schrödinger-Poisson system with concave-convex nonlinearities
Journal of Mathematical Physics, 2019We consider a class of the Schrödinger-Poisson system with concave-convex nonlinearities. Under some suitable assumptions, we prove the existence of nontrivial solutions and infinitely many negative energy solutions by using the variational method and making accurate analysis on the combined effect of parameters μ and λ.
Shao, Mengqiu, Mao, Anmin
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Nonlinear Convective Concave-Convex Problems
Results in MathematicszbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bai, Yunru +2 more
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Nonlinear Schrödinger equations with concave-convex nonlinearities
Journal of Differential EquationszbMATH Open Web Interface contents unavailable due to conflicting licenses.
Xiaojing Dong, Qi Guo
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Solutions of a Schrödinger–Kirchhoff–Poisson system with concave–convex nonlinearities
Journal of Elliptic and Parabolic Equations, 2023zbMATH Open Web Interface contents unavailable due to conflicting licenses.
M. Soluki, S. H. Rasouli, G. A. Afrouzi
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Nonlinear flux “concave–convex” problems: a fibering method approach
Advances in Operator Theory, 2020A natural variational functional \(\mathcal{J}\) is associated to the weak solutions to the concave-convex problem \[ \begin{cases}-\Delta_p u+|u|^{p-2}u=|u|^{r-2}u &x\in\Omega,\\ |\nabla u|^{p-2}\frac{\partial u}{\partial \nu}=\lambda|u|^{q-2}u& x\in\partial\Omega,\end{cases} \] where ...
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Positivity, 2016
In this paper are studied problems \(\displaystyle -\operatorname{div} a(\nabla u) =f(x,u,\lambda)\) in \(\Omega \), \(\displaystyle u=0\) on \(\partial\Omega\), where \(\Omega\) is a bounded, \(C^{1,\alpha}\)-domain in \(\mathbb{R}^N\). While the left hand side can be quite general, to include for example \(p\)-Laplacian or generalized \(p\)-mean ...
Papageorgiou, Nikolaos S. +1 more
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In this paper are studied problems \(\displaystyle -\operatorname{div} a(\nabla u) =f(x,u,\lambda)\) in \(\Omega \), \(\displaystyle u=0\) on \(\partial\Omega\), where \(\Omega\) is a bounded, \(C^{1,\alpha}\)-domain in \(\mathbb{R}^N\). While the left hand side can be quite general, to include for example \(p\)-Laplacian or generalized \(p\)-mean ...
Papageorgiou, Nikolaos S. +1 more
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