Infinitely many solutions at a resonance [PDF]
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 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 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 for a Robin Boundary Value Problem
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 fractional Kirchhoff–Sobolev–Hardy critical problems [PDF]
Electronic Journal of Qualitative Theory of Differential Equations, 2019 We investigate a class of critical stationary Kirchhoff fractional $p$-Laplacian problems in presence of a Hardy potential. By using a suitable version of the symmetric mountain-pass lemma due to Kajikiya, we obtain the existence of a sequence of ...
Vincenzo Ambrosio +2 more
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Infinitely many positive solutions for fractional differential inclusions
Electronic Journal of Differential Equations, 2016 In this article, we study a class of fractional differential inclusions problem. By nonsmooth variational methods and the theory of the fractional derivative spaces, we establish the existence of infinitely many positive solutions of the problem under
Ge Bin, Ying-Xin Cui, Ji-Chun Zhang
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Infinitely many solutions for a fourth-order boundary-value problem
Electronic Journal of Differential Equations, 2012 In this article we consider the existence of infinitely many solutions to the fourth-order boundary-value problem $$displaylines{ u^{iv}+alpha u''+eta(x) u=lambda f(x,u)+h(u),quad xin]0,1[cr u(0)=u(1)=0,cr u''(0)=u''(1)=0,.
Seyyed Mohsen Khalkhali +2 more
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Infinitely many homoclinic solutions for fractional discrete Kirchhoff–Schrödinger equations [PDF]
, 2023 In the present paper, we consider a fractional discrete Schrödinger equation with Kirchhoff term. Through the fountain theorem and the dual fountain theorem, we obtain two different conclusions about infinitely many homoclinic solutions to this ...
Molica Bisci, Giovanni +2 more
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Infinitely many solutions for a perturbed nonlinear fractional boundary-value problem [PDF]
Electronic Journal of Differential Equations, 2013 Using variational methods, we prove the existence of infinitely many solutions for a class of nonlinear fractional boundary-value problems depending on two parameters.
Chuanzhi Bai
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Infinitely many sign-changing solutions for an elliptic equation involving double critical Hardy–Sobolev–Maz’ya terms [PDF]
, 2022 In this paper, we consider the existence of infinitely many sign-changing solutions for an elliptic equation involving double critical Hardy–Sobolev–Maz’ya terms. By using a compactness result obtained in [C.H. Wang, J.
Zhang, Dong +5 more
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