Results 11 to 20 of about 348 (123)
Critical Fractional p-Laplacian System with Negative Exponents
Journal of Function Spaces, 2023 In this paper, we consider a class of fractional p-Laplacian problems with critical and negative exponents. By decomposition of the Nehari manifold, the existence and multiplicity of nontrivial solutions for the above problems are established with ...
Qinghao Zhu, Jianming Qi
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International Journal of Differential EquationsThis paper is an attempt to establish the existence and multiplicity results of nontrivial solutions to singular systems with sign-changing weight, nonlinear singularities, and critical exponent.
Mohammed El Mokhtar Ould El Mokhtar +1 more
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The Nehari manifold for elliptic equation involving the square root of the Laplacian
Journal of Differential Equations, 2012 The author proves existence results for solutions of the equation \( A_{1/2}w=\mu w+b(x)| w| ^{\gamma -1}w\) posed in a smooth and bounded domain \(\Omega \) of \(\mathbb{R}^{N}\), \(N\geq 2\), with homogeneous Dirichlet boundary conditions on \(\partial \Omega \).
Xiaohui Yu
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Gluing approximate solutions of minimum type on the Nehari manifold
Electronic Journal of Differential Equations, 2001 In the last decade or so, variational gluing methods have been widely used to construct homoclinic and heteroclinic type solutions of nonlinear elliptic equations and Hamiltonian systems.
Yanyan Li, Zhi-Qiang Wang
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On the existence of ground states of an equation of Schrödinger–Poisson–Slater type
Comptes Rendus. Mathématique, 2021 We study the existence of ground states of a Schrödinger–Poisson–Slater type equation with pure power nonlinearity. By carrying out the constrained minimization on a special manifold, which is a combination of the Pohozaev manifold and Nehari manifold ...
Lei, Chunyu, Lei, Yutian
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Existence and multiplicity of solutions to fractional p-Laplacian systems with concave–convex nonlinearities [PDF]
Bulletin of Mathematical Sciences, 2020 This paper is concerned with a fractional p-Laplacian system with both concave–convex nonlinearities. The existence and multiplicity results of positive solutions are obtained by variational methods and the Nehari manifold.
Hamed Alsulami +4 more
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Mathematics, 2023 We investigate a class of fractional linearly coupled Choquard systems. For the subcritical case and all critical cases, we prove the existence, nonexistence and symmetry of positive ground state solutions of systems, by using the Nehari manifold method,
Huiqin Lu, Kexin Ouyang
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The Nehari manifold for systems of nonlinear elliptic equations [PDF]
Nonlinear Analysis: Theory, Methods & Applications, 2006 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Adriouch, K., El Hamidi, A.
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NON-NEHARI MANIFOLD METHOD FOR SUPERLINEAR SCHRÖDINGER EQUATION [PDF]
Taiwanese Journal of Mathematics, 2014 We consider the boundary value problem \begin{equation} \label{(0.1)} \left\{ \begin{array}{ll} -\triangle u+V(x)u=f(x, u), \ \ \ \ & x\in \Omega,\\ u=0, \ \ \ \ & x\in \partial\Omega, \end{array} \right. \end{equation} where $ \Omega \subset \mathbb R^N$ be a bounded domain, $\inf_{\Omega}V(x)>-\infty$, $f$ is a superlinear, subcritical ...
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Ground State Solutions of Schrödinger‐Kirchhoff Equations with Potentials Vanishing at Infinity
Journal of Function Spaces, Volume 2023, Issue 1, 2023., 2023 In this paper, we deal with the following Schrödinger‐Kirchhoff equation with potentials vanishing at infinity: −ε2a+εb∫ℝ3∇u2Δu+Vxu=Kxup−1u in ℝ3and u > 0, u ∈ H1(ℝ3), where V(x) ~ |x|−α and K(x) ~ |x|−β with 0 < α < 2, and β > 0. We first prove the existence of positive ground state solutions uε ∈ H1(ℝ3) under the assumption that σ < p < 5 for some σ =
Dongdong Sun, Baowei Feng
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