Results 1 to 10 of about 223,016 (152)
Infinitely Many Solutions for Perturbed Hemivariational Inequalities [PDF]
Boundary Value Problems, 2010 We deal with a perturbed eigenvalue Dirichlet-type problem for an elliptic hemivariational inequality involving the -Laplacian. We show that an appropriate oscillating behaviour of the nonlinear part, even under small perturbations, ensures the ...
Giuseppina D'Aguì +1 more
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Infinitely Many Solutions of Superlinear Elliptic Equation [PDF]
Abstract and Applied Analysis, 2013 Via the Fountain theorem, we obtain the existence of infinitely many solutions of the following superlinear elliptic boundary value problem: −Δu=f(x,u) in Ω,u=0 on ∂Ω, where Ω⊂ℝN (N>2) is a bounded domain with smooth boundary and f is odd in u and ...
Anmin Mao, Yang Li
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Infinitely Many Periodic Solutions for Variable Exponent Systems
Journal of Inequalities and Applications, 2009 We mainly consider the system in , in , where are periodic functions, and is called -Laplacian. We give the existence of infinitely many periodic solutions under some conditions.
Lu Mingxin, Guo Xiaoli, Zhang Qihu
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Infinitely many solutions for nonhomogeneous Choquard equations
Electronic Journal of Qualitative Theory of Differential Equations, 2019 In this paper, we study the following nonhomogeneous Choquard equation \begin{equation*} \begin{split} -\Delta u+V(x)u=(I_\alpha*|u|^p)|u|^{p-2}u+f(x),\qquad x\in \mathbb{R}^N, \end{split} \end{equation*} where $N\geq3,\alpha\in(0,N),p\in \big[\frac{N ...
Tao Wang, Hui Guo
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Infinitely Many Solutions of Strongly Indefinite Semilinear Elliptic Systems [PDF]
Boundary Value Problems, 2009 We proved a multiplicity result for strongly indefinite semilinear elliptic systems −Δu+u=±1/(1+|x|a)|v|p−2v in ℝN, −Δv+v=±1/(1+|x|b)|u|q−2u in ℝN where a and b are positive numbers ...
Kuan-Ju Chen
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Infinitely Many Solutions for a Robin Boundary Value Problem [PDF]
International Journal of Differential Equations, 2010 By combining the embedding arguments and the variational methods, we obtain infinitely many solutions for a class of superlinear elliptic problems with the Robin boundary value under weaker conditions.
Aixia Qian, Chong Li
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Infinitely many solutions at a resonance
Electronic Journal of Differential Equations, 2000 We use bifurcation theory to show the existence of infinitely many solutions at the first eigenvalue for a class of Dirichlet problems in one dimension.
Philip Korman, Yi Li
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Infinitely many positive solutions of nonlinear Schrödinger equations [PDF]
Calculus of Variations and Partial Differential Equations, 2021 AbstractThe paper deals with the equation $$-\Delta u+a(x) u =|u|^{p-1}u $$ - Δ u + a ( x ) u
Molle R., Passaseo D.
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Infinitely many solutions for Schrödinger–Newton equations
Communications in Contemporary Mathematics, 2023 We prove the existence of infinitely many non-radial positive solutions for the Schrödinger–Newton system [Formula: see text] provided that [Formula: see text] has the following behavior at infinity: [Formula: see text] where [Formula: see text] and [Formula: see text] are some positive constants.
Hu Y., Jevnikar A., Xie W.
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A variational approach for mixed elliptic problems involving the p-Laplacian with two parameters
Boundary Value Problems, 2022 By exploiting an abstract critical-point result for differentiable and parametric functionals, we show the existence of infinitely many weak solutions for nonlinear elliptic equations with nonhomogeneous boundary conditions. More accurately, we determine
Armin Hadjian, Juan J. Nieto
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