Results 61 to 70 of about 145,855 (140)
A Nehari manifold method for nonvariational problems
The aim of this paper is to extend the Nehari manifold method from the variational setting to the nonvariational framework of fixed point equations. This is achieved by constructing a radial energy functional that generalizes the standard one from the variational case.
Precup, Radu, Stan, Andrei
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The Nehari manifold for a boundary value problem involving Riemann–Liouville fractional derivative [PDF]
Advances in Difference Equations, 2018 Nuestro objetivo es investigar los siguientes problemas de valores límite no lineales de ecuaciones diferenciales fraccionarias: $$\begin{aligned} (\mathrm{P}_{\lambda})\ left\ {\ textstyle\begin {array} {l} -_{t} D_{1} ^{\alpha} ( \vert {}_{0} D_{t} ^{\alpha}(u(t)) \vert ^{p-2} {}_{0} D_{t} ^{\alpha}u(t) )\ \\\quad=f(t,u (t)) +\lambda g (t) \vert u(t)\
Kamel Saoudi +4 more
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Journal of Function Spaces, Volume 2024, Issue 1, 2024.In this paper, we consider the weighted m‐biharmonic equation with nonlinear damping and source terms. We proved the global existence of solutions. Later, the decay of the energy is established by using Nakao’s inequality. Finally, we proved the blow‐up of solutions in finite time.
Ayşe Fidan +3 more
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Multiplicity of Solutions for a Class of Kirchhoff–Poisson Type Problem
Abstract and Applied Analysis, Volume 2024, Issue 1, 2024.In this paper, we use the fountain theorems to investigate a class of nonlinear Kirchhoff–Poisson type problem. When the nonlinearity f satisfies the Ambrosetti–Rabinowitz’s 4‐superlinearity condition, or under some weaker superlinearity condition, we establish two theorems concerning with the existence of infinitely many solutions.
Ziqi Deng +2 more
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Ground state solution of a nonlocal boundary-value problem
Electronic Journal of Differential Equations, 2013 In this article, we apply the Nehari manifold method to study the Kirchhoff type equation $$ -\Big(a+b\int_\Omega|\nabla u|^2dx\Big)\Delta u=f(x,u) $$ subject to Dirichlet boundary conditions.
Cyril Joel Batkam
doaj
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
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A Local Minimax Method Using the Generalized Nehari Manifold for Finding Differential Saddles [PDF]
, 2019 In order to find the first few unconstrained saddles of functionals with different types of variational structures, a new local minimax method (LMM), based on a dynamics of points on virtual geometric objects such as curves, surfaces, etc., is developed.
Ji, Bingbing
core
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
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The minimal periodic solutions for superquadratic autonomous Hamiltonian systems without the Palais-Smale condition [PDF]
, 2023 In this paper, we prove the existence of periodic solutions with any prescribed minimal period $T>0$ for even second order Hamiltonian systems and convex first order Hamiltonian systems under the weak Nehari condition instead of Ambrosetti-Rabinowitz's ...
Zhu, Gaosheng, Xiao, Yuming
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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
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