Results 161 to 170 of about 317,499 (205)

Ground state and multiple solutions via generalized Nehari manifold

Nonlinear Analysis: Theory, Methods & Applications, 2014
Abstract By using variational methods and the generalized Nehari manifold due to Szulkin and Weth, the existence of the ground states and the multiplicity of solutions for a wide class of superlinear elliptic equations is studied.
X. Zhong, Wenming Zou
openaire   +2 more sources

The Nehari manifold for the Schrödinger–Poisson systems with steep well potential

Complex Variables and Elliptic Equations, 2018
In this paper, via variational methods, we consider the existence and concentration of positive solutions for a system of Schrodinger–Poisson equation involving concave–convex nonlinearities under ...
Zhiqing Han, Qing-Jun Lou
openaire   +2 more sources

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

Zeitschrift für angewandte Mathematik und Physik, 2014
In this paper, we study the multiplicity of solutions to equations driven by a nonlocal integro-differential operator $${{\mathcal{L}}_K}$$ with homogeneous Dirichlet boundary conditions.
Shengbing Deng, Shengbing Deng, Wenjing Chen   +2 more
openaire   +3 more sources

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

Differential Equations and Dynamical Systems, 2013
In this paper, we study the Nehari manifold and its application to the following fractional boundary value problem: $$\begin{aligned} {\left\{ \begin{array}{ll} - \frac{d}{d t} \Big (\frac{1}{2} {}_0D_t^{- \beta } (u^{\prime } (t)) + \frac{1}{2} {}_tD_T^{- \beta } (u^{\prime } (t)
openaire   +2 more sources

Solutions of the mean curvature equation with the Nehari manifold

Computational and Applied Mathematics, 2023
J. Sousa, D. S. Oliveira, Leandro S. Tavares   +2 more
semanticscholar   +1 more source

The Nehari manifold for indefinite semilinear elliptic systems involving critical exponent

Applied Mathematics and Computation, 2012
Abstract In this paper, we study the combined effect of concave and convex nonlinearities on the number of solutions for an indefinite semilinear elliptic system ( E λ , μ ) involving critical exponents and sign-changing weight functions.
Ching-yu Chen, Tsung-fang Wu
openaire   +2 more sources

Nehari Manifold for Weighted Singular Fractional p-Laplace Equations

Bulletin of the Brazilian Mathematical Society, New Series, 2022
J. Sousa, C. Ledesma, Mariane Pigossi, J. Zuo   +3 more
semanticscholar   +1 more source

The Nehari manifold for a semilinear elliptic equation involving a sublinear term

Calculus of Variations and Partial Differential Equations, 2004
The Nehari manifold for the equation $$ -\Delta u(x) = \lambda u(x) + b(x) \vert u(x)\vert^{\gamma - 2} u(x) $$ for $ x \in \Omega $ together with Dirichlet boundary ...
openaire   +2 more sources

Nehari manifold and fibering map approach for fractional p(.)-Laplacian Schrödinger system

SeMA Journal, 2023
H. El-Houari, L. Chadli, Moussa Hicham
semanticscholar   +1 more source

NEHARI MANIFOLD AND MULTIPLICITY RESULTS FOR A CLASS OF FRACTIONAL BOUNDARY VALUE PROBLEMS WITH p-LAPLACIAN

, 2019
In this work, we investigate the following fractional boundary value problems  tD T ( |0D t (u(t))|0Dt u(t) ) = ∇W (t, u(t)) + λg(t)|u(t)|q−2u(t), t ∈ (0, T ), u(0) = u(T ) = 0, where ∇W (t, u) is the gradient of W (t, u) at u and W ∈ C([0, T ]×Rn,R ...
A. Ghanmi, Ziheng Zhang
semanticscholar   +1 more source