Results 61 to 70 of about 7,949 (154)
Existence Results for a px-Kirchhoff-Type Equation without Ambrosetti-Rabinowitz Condition
Journal of Applied Mathematics, 2013 We consider the existence and multiplicity of solutions for the px-Kirchhoff-type equations without Ambrosetti-Rabinowitz condition. Using the Mountain Pass Lemma, the Fountain Theorem, and its dual, the existence of solutions and infinitely many ...
Libo Wang, Minghe Pei
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Infinitely many solutions for impulsive fractional boundary value problem with p-Laplacian
Boundary Value Problems, 2018 This paper deals with the existence of infinitely many solutions for a class of impulsive fractional boundary value problems with p-Laplacian. Based on a variant fountain theorem, the existence of infinitely many nontrivial high or small energy solutions
Yang Wang, Yansheng Liu, Yujun Cui
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On Lattices of Varieties of Restriction Semigroups [PDF]
, 2012 The left restriction semigroups have arisen in a number of contexts, one being as the abstract characterization of semigroups of partial maps, another as the ‘weakly left E-ample’ semigroups of the ‘York school’, and, more recently as a variety of unary ...
Jones, Peter R.
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Multiplicity Results for a (p1(x), p2(x))‐Laplacian Equation via Variational Methods
Journal of Mathematics, Volume 2024, Issue 1, 2024.We prove the existence and multiplicity of nontrivial weak solutions for the following (p1(x), p2(x))‐Laplacian equation involving variable exponents: −div∇up1x−2∇u−div∇up2x−2∇u+up2x−2u=λhx,u,inΩ,u=0,on∂Ω. Using Ricceri’s variational principle, we show the existence of at least three weak solutions for the problem.
A. Rezvani, Dengfeng Lü
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Electronic Journal of Differential Equations, 2016 In this article we study the existence of solutions for the Dirichlet problem $$\displaylines{ -\text{div}(| \nabla u |^{p(x)-2}\nabla u)+V(x)|u|^{q(x)-2}u =f(x,u)\quad \text{in }\Omega,\cr u=0\quad \text{on }\partial \Omega, }$$ where $\Omega$ is
Aboubacar Abdou, Aboubacar Marcos
doaj
Electronic Journal of Qualitative Theory of Differential Equations, 2020 We study the following class of double-phase nonlinear eigenvalue problems $$ -\operatorname{div}\left[\phi(x,|\nabla u|)\nabla u+\psi(x,|\nabla u|)\nabla u\right]=\lambda f(x,u) $$ in $\Omega$, $u=0$ on $\partial\Omega$, where $\Omega$ is a bounded ...
Vasile Uța
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In this work, we establish a continuous version of the Fountain theorem by using the framework of the weak slope for continuous functionals, which generalizes Theorem 3.6 of Willem \cite{Wi}. Then we present an application to a semilinear problem.
Songo, Ablanvi, Colin, Fabrice
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Existence of infinitely many periodic solutions for second-order Hamiltonian systems
Electronic Journal of Differential Equations, 2013 By using the variant of the fountain theorem, we study the existence of infinitely many periodic solutions for a class of superquadratic nonautonomous second-order Hamiltonian systems.
Hua Gu, Tianqing An
doaj
Abstract and Applied Analysis, 2013 We study a class of nonperiodic damped vibration systems with asymptotically quadratic terms at infinity. We obtain infinitely many nontrivial homoclinic orbits by a variant fountain theorem developed recently by Zou.
Guanwei Chen
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Electronic Journal of Qualitative Theory of Differential Equations, 2008 In this paper the Fountain theorem is employed to establish infinitely many solutions for the class of quasilinear Schr\"{o}dinger equations $-L_pu+ V(x)|u|^{p-2}u=\lambda|u|^{q-2}u+\mu |u|^{r-2}u$ in $\mathbb{R}$, where $L_pu=(|u'|^{p-2}u')'+ (|(u^2)'|^{
Uberlandio Severo
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