Results 51 to 60 of about 521 (162)
Journal of Mathematical Analysis and Applications, 2012 AbstractIn this paper, we are concerned with the existence of multiple positive solutions for the singular quasilinear elliptic problem {−div(|x|−ap|∇u|p−2∇u)=λh(x)|u|m−2u+H(x)|u|n−2u,x∈Ω,u(x)=0,x∈∂Ω, where Ω⊂RN(N≥3) is a bounded domain with smooth boundary ∂Ω, 0∈Ω ...
Caisheng Chen +3 more
openaire +2 more sources
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
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
Electronic Journal of Differential Equations, 2020 This article concerns the existence and multiplicity of positive solutions to the fractional Kirchhoff equation with critical indefinite nonlinearities by applying the Nehari manifold approach and fibering maps.
Jie Yang, Haibo Chen, Zhaosheng Feng
doaj
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
doaj +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, 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
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
Journal of Function Spaces, Volume 2024, Issue 1, 2024.The p‐Laplacian fractional differential equations have been studied extensively because of their numerous applications in science and engineering. In this study, a class of p‐Laplacian fractional differential equations with instantaneous and noninstantaneous impulses is considered.
Wangjin Yao +2 more
wiley +1 more source
Journal of Function Spaces, 2020 In this paper, the nonlinear quasilinear elliptic problem with the logarithmic nonlinearity −div∇up−2∇u=axφpulogu+hxψpu in Ω⊂Rn was studied. By means of a double perturbation argument and Nehari manifold, the authors obtain the existence results.
Zhoujin Cui +4 more
doaj +1 more source