Results 81 to 90 of about 262,340 (175)
Journal of Function Spaces, Volume 2024, Issue 1, 2024.In this paper, we consider the weighted m‐biharmonic equation with nonlinear damping and source terms. We proved the global existence of solutions. Later, the decay of the energy is established by using Nakao’s inequality. Finally, we proved the blow‐up of solutions in finite time.
Ayşe Fidan +3 more
wiley +1 more source
A Fibering Map Approach for a Laplacian System With Sign-Changing Weight Function [PDF]
, 2014 We prove the existence of at least two positive solutions for the Laplacian system(E?)On a bounded region by using the Nehari manifold and the fibering maps associated with the Euler functional for the ...
Kazemipoor, Seyyed Sadegh +1 more
core
, 2014 We study the existence of positive bound states for the nonlinear elliptic system \[ \begin{cases} - \Delta u_i + \lambda_i u_i = \sum_{j=1}^d \beta_{ij} u_j^2 u_i & \text{in $\Omega$} \\ u_1 =\cdots = u_d=0 & \text{on $\partial \Omega$}, \end{cases ...
Soave, Nicola
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Multiplicity of Solutions for a Class of Kirchhoff–Poisson Type Problem
Abstract and Applied Analysis, Volume 2024, Issue 1, 2024.In this paper, we use the fountain theorems to investigate a class of nonlinear Kirchhoff–Poisson type problem. When the nonlinearity f satisfies the Ambrosetti–Rabinowitz’s 4‐superlinearity condition, or under some weaker superlinearity condition, we establish two theorems concerning with the existence of infinitely many solutions.
Ziqi Deng +2 more
wiley +1 more source
Journal of Function Spaces, 2017 We study a singular Schrödinger-Kirchhoff-Poisson system by the variational methods and the Nehari manifold and we prove the existence, uniqueness, and multiplicity of positive solutions of the problem under different conditions.
Mengjun Mu, Huiqin Lu
doaj +1 more source
Electronic Journal of Differential Equations, 2020 In this article, using Nehari manifold method we study the multiplicity of solutions of the nonlocal elliptic system involving variable exponents and concave-convex nonlinearities, $$\displaylines{ (-\Delta)_{p(\cdot)}^{s} u=\lambda a(x)| u|^{q(x)-2}u ...
R. Biswas, Sweta Tiwari
semanticscholar +1 more source
Journal of Mathematics, Volume 2024, Issue 1, 2024.In this paper, we intend to consider infinitely many high energy solutions for a kind of superlinear Klein–Gordon–Maxwell systems. Under some suitable assumptions on the potential function and nonlinearity, by using variational methods and the method of Nehari manifold, we obtain the existence result of infinitely many high energy solutions for this ...
Fangfang Huang +2 more
wiley +1 more source
Journal of Function Spaces, 2019 This paper deals with the Kirchhoff-Schrödinger-Poisson system involving sign-changing weight functions. We prove the existence and multiplicity of solutions to the system. Our main results are based on the method of Nehari manifold.
Dandan Yang, Chuanzhi Bai
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Vortex ground states for Klein-Gordon-Maxwell-Proca type systems
, 2016 We look for three dimensional vortex-solutions, which have finite energy and are stationary solutions, of Klein-Gordon-Maxwell-Proca type systems of equations.
d'Avenia, Pietro +2 more
core +1 more source
Journal of Function Spaces, Volume 2024, Issue 1, 2024.In this work, we deal with a fourth‐order parabolic equation with variable exponent logarithmic nonlinearity. We obtain the global existence and blowup solutions using the energy functional and potential well method.
Gülistan Butakın +3 more
wiley +1 more source