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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 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 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 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 [equaction presented] provided that V (r) has the following behavior at infinity: [equaction presented] where 1/2 ≤ m < 1 and a,V0, are some ...
Xie W., Hu Y., Jevnikar A.
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Infinitely many solutions for perturbed Kirchhoff type problems [PDF]
Electronic Journal of Qualitative Theory of Differential Equations, 2019 In this paper, we discuss a superlinear Kirchhoff type problem where the non-linearity is not necessarily odd. By using variational and perturbative methods, we prove the existence of infinitely many solutions in the non-symmetric case.
Weibing Wang
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Infinitely many positive solutions for a SchrdingerPoisson system [PDF]
Applied Mathematics Letters, 2011 We are interested in the existence of infinitely many positive non-radial solutions of a Schrödinger–Poisson system with a positive radial bounded external potential decaying at ...
Alessio Pomponio +6 more
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Infinitely Many Elliptic Solutions to a Simple Equation and Applications [PDF]
Abstract and Applied Analysis, 2013 Based on auxiliary equation method and Bäcklund transformations, we present an idea to find infinitely many Weierstrass and Jacobi elliptic function solutions to some nonlinear problems.
Long Wei, Yang Wang
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Infinitely many non-radial solutions for a Choquard equation
Advances in Nonlinear Analysis, 2022 In this article, we consider the non-linear Choquard equation −Δu+V(∣x∣)u=∫R3∣u(y)∣2∣x−y∣dyuinR3,-\Delta u+V\left(| x| )u=\left(\mathop{\int }\limits_{{{\mathbb{R}}}^{3}}\frac{| u(y){| }^{2}}{| x-y| }{\rm{d}}y\right)u\hspace{1.0em}\hspace{0.1em}\text{in}\
Gao Fashun, Yang Minbo
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Infinitely many solutions for Hamiltonian systems
Journal of Differential Equations, 2002 We consider two classes of the second-order Hamiltonian systems with symmetry. If the systems are asymptotically linear with resonance, we obtain infinitely many small-energy solutions by minimax technique. If the systems possess sign-changing potential,
Wenming Zou +3 more
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