Results 131 to 140 of about 523 (145)

A minimization problem with variable growth on Nehari manifold

Monatshefte für Mathematik, 2016
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +1 more source

Ground State Solutions for Kirchhoff Equations via Modified Nehari-Pankov Manifold

Journal of Partial Differential Equations
Summary: We investigate the Kirchhoff type elliptic problem \[ \left(a+b\int_{\mathbb{R}^N} [|\nabla u|^2+V(x)u^2]\mathrm{d}x \right) [-\Delta u+V(x)u]=f(x,u), \quad x\in \mathbb{R}^N, \] where both \(V\) and \(f\) are periodic in \(x\), \(0\) belongs to a spectral gap of \(- \Delta +V\).
Tang, Biyun, Lan, Yongyi
openaire   +2 more sources

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
openaire   +2 more sources

Existence Results for Fractional p(x, .)-Laplacian Problem Via the Nehari Manifold Approach

Applied Mathematics & Optimization, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Azroul, E., Benkirane, A., Boumazourh, A., Shimi, M.   +3 more
openaire   +1 more source

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 ...
Chen, Ching-yu, Wu, Tsung-fang
openaire   +1 more source

The Nehari Manifold and its Application to a Fractional Boundary Value Problem

Differential Equations and Dynamical Systems, 2013
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

On a minimization problem involving fractional Sobolev spaces on Nehari manifold

Afrika Matematika, 2023
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

The Nehari manifold for a fractional p-Laplacian system involving concave–convex nonlinearities

Nonlinear Analysis: Real World Applications, 2016
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Chen, Wenjing, Deng, Shengbing
openaire   +1 more source

The Nehari manifold and application to a semilinear elliptic system

Nonlinear Analysis: Theory, Methods & Applications, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +1 more source

Nehari manifold and bifurcation for a ψ‐Hilfer fractional p‐Laplacian

Mathematical Methods in the Applied Sciences, 2021
In this paper, we discuss the bifurcation from infinity for nonlinear problem with a fractional p‐Laplacian in ψ‐fractional space , whose bifurcation is directly linked to the signal with 1 < q < p − 1.
openaire   +2 more sources