Results 81 to 90 of about 317,499 (205)
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
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 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
doaj +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
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
Existence of solutions for singular double phase problems via the Nehari manifold method [PDF]
arXiv, 2021 In this paper we study quasilinear elliptic equations driven by the double phase operator and a right-hand side which has the combined effect of a singular and of a parametric term. Based on the fibering method by using the Nehari manifold we are going to prove the existence of at least two weak solutions for such problems when the parameter is ...
arxiv
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
Combined effects of singular and superlinear nonlinearities in singular double phase problems in $\mathbb{R}^N$ [PDF]
arXiv, 2021 This paper is concerned with multiplicity results for parametric singular double phase problems in $\mathbb{R}^N$ via the Nehari manifold approach. It is shown that the problem under consideration has at least two nontrivial weak solutions provided the parameter is sufficiently small.
arxiv
Solutions to a nonlinear Schr\"odinger equation with periodic potential and zero on the boundary of the spectrum [PDF]
, 2014 We study the following nonlinear Schr\"odinger equation $$-\Delta u + V(x) u = g(x,u),$$ where V and g are periodic in x. We assume that 0 is a right boundary point of the essential spectrum of $-\Delta+V$.
Mederski, Jarosław
core +2 more sources