Results 11 to 20 of about 9,842 (165)
Multiple solutions to a class of inclusion problems with operator involving p(x)-Laplacian [PDF]
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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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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Perturbations of critical values in nonsmooth critical point theory [PDF]
, 1996 * Supported by Ministero dell’Università e della Ricerca Scientifica e Tecnologica (40% – 1993). ** Supported by Ministero dell’Università e della Ricerca Scientifica e Tecnologica (40% – 1993).The perturbation of critical values for continuous ...
Degiovanni, M., Lancelotti, Sergio
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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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On a global implicit function theorem for locally Lipschitz maps via nonsmooth critical point theory [PDF]
Quaestiones Mathematicae, 2017 We prove a non-smooth generalization of the global implicit function theorem. More precisely we use the non-smooth local implicit function theorem and the non-smooth critical point theory in order to prove a non-smooth global implicit function theorem ...
Galewski, M., Rădulescu, M.
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The Dirichlet problem for discontinuous perturbations of the mean curvature operator in Minkowski space [PDF]
Electronic Journal of Qualitative Theory of Differential Equations, 2015 Using the critical point theory for convex, lower semicontinuous perturbations of locally Lipschitz functionals, we prove the solvability of the discontinuous Dirichlet problem involving the operator $u\mapsto\mbox{div} \Big(\frac{\nabla u}{\sqrt{1 ...
C. Bereanu +2 more
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A Note on Coercivity of Lower Semicontinuous Functions and Nonsmooth Critical Point Theory [PDF]
, 1996 The first motivation for this note is to obtain a general version of the following result: let E be a Banach space and f : E → R be a differentiable function, bounded below and satisfying the Palais-Smale condition; then, f is coercive, i.e., f(x) goes ...
Corvellec, J.
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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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