Results 191 to 200 of about 475 (219)
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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 Convective Concave-Convex Problems
Results in MathematicszbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bai, Yunru +2 more
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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 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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Estimates for Extremal Values for a Critical Fractional Equation with Concave-Convex Nonlinearities
Acta Mathematica Scientia, 2022zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hao, Jianghao, Zhang, Yajing
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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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The Nehari manifold for nonlocal elliptic operators involving concave–convex nonlinearities
Zeitschrift für angewandte Mathematik und Physik, 2014zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Chen, Wenjing, Deng, Shengbing
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Nonlocal critical equations with concave-convex nonlinearities
2016In this chapter, we focus our attention on the following critical nonlocal fractional problem: where s ∈ (0, 1) is fixed, and (− Δ) s is the fractional Laplace operator defined, up to normalization factors, as in (1.20), while Ω ∈ ℝ n , n > 2 s , is open, bounded and with continuous boundary and λ > 0.
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Some further results on a semilinear equation with concave–convex nonlinearity
Nonlinear Analysis: Theory, Methods & Applications, 2005The author considers a model singular elliptic equation, with concave-convex nonlinearity, in a bounded domain. It is obtained the existence of multiple solutions with negative energy, positive solutions and sign-changing solutions.
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