Results 111 to 120 of about 145,855 (140)

The Nehari manifold for nonlocal elliptic operators involving concave–convex nonlinearities

Zeitschrift für angewandte Mathematik und Physik, 2014
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Chen, Wenjing, Deng, Shengbing
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A borderline analysis of the Nehari manifold method for concave-convex system

Topological Methods in Nonlinear Analysis
The aim of this paper is to obtain an existence and multiplicity result for a strongly coupled concave-convex system for an {\it optimal} choice of involved real parameters via the Nehari manifold method. In the paper, we have obtained the parametric region which is optimal in the sense that the constraint minimization idea based on the Nehari ...
Vinayak Mani Tripathi, Kaye Silva, Pawan K. Mishra   +2 more
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Solutions of the mean curvature equation with the Nehari manifold

Computational and Applied Mathematics, 2023
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José Vanterler da Costa Sousa, Daniela S. Oliveira, Leandro S. Tavares   +2 more
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The Nehari Manifold Approach for Dirichlet Problem Involving the p(x)-Laplacian Equation

Journal of the Korean Mathematical Society, 2010
In this paper, using the Nehari manifold approach and some variational techniques, we discuss the multiplicity of positive solutions for the p(x)-Laplacian problems with non-negative weight functions and prove that an elliptic equation has at least two ...
Mustafa Avci
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The Nehari manifold for double‐phase problems with convex and concave nonlinearities

Mathematische Nachrichten, 2023
AbstractThe 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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Infinite Sharp Conditions by Nehari Manifolds for Nonlinear Schrödinger Equations

The Journal of Geometric Analysis, 2019
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Lian, Wei, Shen, Jihong, Xu, Runzhang, Yang, Yanbing   +3 more
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Transversality of stable and Nehari manifolds for a semilinear heat equation

Calculus of Variations and Partial Differential Equations, 2011
Let \(\Omega\) 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, Mizoguchi, Noriko, Souplet, Philippe, Weissler, Fred   +3 more
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A minimization problem with variable growth on Nehari manifold

Monatshefte für Mathematik, 2016
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The Nehari manifold for indefinite semilinear elliptic systems involving critical exponent

Applied Mathematics and Computation, 2012
The 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 ...
Ching-yu Chen, Tsung-fang Wu
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On a minimization problem involving fractional Sobolev spaces on Nehari manifold

Afrika Matematika, 2023
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