Results 1 to 10 of about 283 (127)
Periodic Solutions for Semilinear Fourth-Order Differential Inclusions via Nonsmooth Critical Point Theory [PDF]
Journal of Function Spaces, 2014 Three periodic solutions with prescribed wavelength for a class of semilinear fourth-order differential inclusions are obtained by using a nonsmooth version critical point theorem. Some results of previous related literature are extended.
Bian-Xia Yang, Hong-Rui Sun
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Journal of Function Spaces, 2018 An existence of at least three solutions for a fourth-order impulsive differential inclusion will be obtained by applying a nonsmooth version of a three-critical-point theorem. Our results generalize and improve some known results.
Dongdong Gao, Jianli Li
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EXISTENCE OF SOLUTION FOR A FRACTIONAL DIFFERENTIAL INCLUSION VIA NONSMOOTH CRITICAL POINT THEORY
Korean Journal of Mathematics, 2015 Summary: This paper is concerned with the existence of solutions to the following fractional differential inclusion \[\begin{cases} -\frac{d}{dx}\left(p {}_0D_x^{-\beta}(u'(x))+q {}_xD_1^{-\beta}(u'(x))\right)\in \partial F_u(x,u),\qquad x\in (0,1),\\ u(0)=u(1)=0,\end{cases}\] where \({}_0D_x^{-\beta}\) and \({}_xD_1^{-\beta}\) are left and right ...
Yang, Bian-Xia, Sun, Hong-Rui
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Taiwanese Journal of Mathematics, 2015 In this paper, we study a class of differential inclusion problems driven by the $p(x)$-Kirchhoff with non-standard growth depending on a real parameter. Working within the framework of variable exponent spaces, a new existence result of at least three solutions for the considered problem is established by using the nonsmooth version three critical ...
Duan, Lian, Huang, Lihong, Cai, Zuowei
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Abstract and Applied Analysis, 2022 In this paper, we establish a generalization of the Galewski-Rădulescu nonsmooth global implicit function theorem to locally Lipschitz functions defined from infinite dimensional Banach spaces into Euclidean spaces.
Guy Degla +2 more
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Advances in Difference Equations, 2008 We study the existence, multiplicity, and nonexistence of positive solutions for multiparameter semipositone discrete boundary value problems by using nonsmooth critical point theory and subsuper solutions method.
Guo Zhiming, Yu Jianshe, Zhu Benshi
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Advances in Nonlinear Analysis, 2021 In this paper, we consider a class of semilinear elliptic equation with critical exponent and -1 growth. By using the critical point theory for nonsmooth functionals, two positive solutions are obtained. Moreover, the symmetry and monotonicity properties
Lei Chun-Yu, Liao Jia-Feng
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Multiple solutions to a class of inclusion problems with operator involving p(x)-Laplacian
Electronic Journal of Qualitative Theory of Differential Equations, 2013 In this paper, we prove the existence of at least two nontrivial solutions for a nonlinear elliptic problem involving p(x)-Laplacian-like operator and nonsmooth potentials.
Qing-Mei Zhou
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Nonsmooth critical point theory and nonlinear elliptic equations at resonance [PDF]
Kodai Mathematical Journal, 2000 AbstractIn this paper we complete two tasks. First we extend the nonsmooth critical point theory of Chang to the case where the energy functional satisfies only the weaker nonsmooth Cerami condition and we also relax the boundary conditions. Then we study semilinear and quasilinear equations (involving the p-Laplacian).
Kourogenis, Nikolaos C. +1 more
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Multiplicity of Solutions for a Modified Schrödinger-Kirchhoff-Type Equation in RN
Discrete Dynamics in Nature and Society, 2015 We study the existence of infinitely many solutions for a class of modified Schrödinger-Kirchhoff-type equations by the dual method and the nonsmooth critical point theory.
Xiumei He
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