A minimization problem with variable growth on Nehari manifold
Monatshefte Fur Mathematik, 2016zbMATH Open Web Interface contents unavailable due to conflicting licenses.
exaly +2 more sources
The Nehari manifold for indefinite semilinear elliptic systems involving critical exponent
Applied Mathematics and Computation, 2012The authors study the combined effect of concave and convex nonlinearities on the number of solutions for an indefinite semilinear elliptic system of the type \[ \begin{cases} -\Delta u=f_\lambda(x)|u|^{q-2}u+{\alpha\over{\alpha+\beta}}h(x)|u|^{\alpha-2}u|v|^\beta &\text{in}\;\Omega,\\ -\Delta v=g_\mu(x)|v|^{q-2}v+{\beta\over{\alpha+\beta}}h(x)|u ...
Tsung-Fang Wu
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Solutions of the mean curvature equation with the Nehari manifold
Computational and Applied Mathematics, 2023zbMATH Open Web Interface contents unavailable due to conflicting licenses.
José Vanterler da Costa Sousa +2 more
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The Nehari manifold for double‐phase problems with convex and concave nonlinearities
Mathematische Nachrichten, 2023AbstractThe aim of this paper is to establish the multiplicity of solutions for double‐phase problem. Employing the Nehari manifold approach, we show that the problem has at least two nontrivial solutions.
Cao, Qing-Hai, Ge, Bin, Zhang, Yu-Ting
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Nehari manifold and fractional Dirichlet boundary value problem
Analysis and Mathematical Physics, 2022zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Vanterler da C. Sousa, José +2 more
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Infinite Sharp Conditions by Nehari Manifolds for Nonlinear Schrödinger Equations
The Journal of Geometric Analysis, 2019zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Lian, Wei +3 more
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Transversality of stable and Nehari manifolds for a semilinear heat equation
Calculus of Variations and Partial Differential Equations, 2011Let \(\Omega\) be a smooth bounded domain in \({\mathbb R}^n\) and \(p>1\); \(p2\). Consider the semilinear heat equation \(u_t-\Delta u=|u|^{p-1}u\) for \(x\in\Omega\), \(t>0\), complemented by the boundary conditions \(u=0\) for \(x\in\partial\Omega\), \(t>0\), and the initial condition \(u(x,0)=u_0(x)\) for \(x\in\Omega\), where \(u_0\in H^1_0 ...
Dickstein, Flavio +3 more
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A generalised Nehari manifold method for a class of non-linear Schrödinger systems in ℝ3
AIP Conference Proceedings, 2022We study the existence of positive solutions of a particular elliptic system in R3 composed of two non linear stationary Schrödinger equations (NLSEs), that is -∈2Δu + V(x)u = hv(u, v), -∈2Δv + V(x)v = hu(u, v). Under certain hypotheses on the potential V and the non linearity h, we manage to prove that there exists a solution (u∈, v∈) that decays ...
Cortopassi T., Georgiev V.
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On a minimization problem involving fractional Sobolev spaces on Nehari manifold
Afrika Matematika, 2023zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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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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