Results 71 to 80 of about 492 (172)

Three nontrivial solutions for nonlocal anisotropic inclusions under nonresonance

Electronic Journal of Differential Equations, 2019
In this article, we study a pseudo-differential inclusion driven by a nonlocal anisotropic operator and a Clarke generalized subdifferential of a nonsmooth potential, which satisfies nonresonance conditions both at the origin and at infinity. We prove
Silvia Frassu, Eugenio M. Rocha, Vasile Staicu   +2 more
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Solutions for nonlinear variational inequalities with a nonsmooth potential

, 2004
First we examine a resonant variational inequality driven by the p-Laplacian and with a nonsmooth potential. We prove the existence of a nontrivial solution.
Filippakis, ME, Papageorgiou, NS, Michael E. Filippakis, Nikolaos S. Papageorgiou   +3 more
core   +1 more source

Infinitely many solutions via variational-hemivariational inequalities under Neumann boundary conditions

Electronic Journal of Differential Equations, 2016
In this article, we study the variational-hemivariational inequalities with Neumann boundary condition. Using a nonsmooth critical point theorem, we prove the existence of infinitely many solutions for boundary-value problems.
Fariba Fattahi, Mohsen Alimohammady
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Multiplicity of nontrivial solutions for elliptic equations with nonsmooth potential and resonance at higher eigenvalues

, 2006
We consider a semilinear elliptic equation with a nonsmooth, locally Lipschitz potential function (hemivariational inequality). Our hypotheses permit double resonance at infinity and at zero (double-double resonance situation).
Leszek Gasinski, Motreanu, D, Motreanu, Dumitru, Papageorgiou, NS, Papageorgiou, Nikolaos S., Dumitru Motreanu, Nikolaos S Papageorgiou, Nikolaos S. Papageorgiou, Gasiński, Leszek, Gasinski, L   +9 more
core   +1 more source

Variational-hemivariational inequalities with nonhomogeneous Neumann boundary condition

Le Matematiche, 2010
The aim of this paper is the study of variational-hemivariational inequalities with nonhomogeneous Neumann boundary condition. Sufficient conditions for the existence of a whole sequence of solutions which is either unbounded or converges to zero are ...
Dumitru Motreanu, Patrick Winkert
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A deformation theorem in the noncompact nonsmooth setting and its applications

Electronic Journal of Differential Equations, 2001
We build a deformation for a continuous functional defined on a Banach space and invariant with respect to an isometric action of a noncompact group. Under these assumptions the Palais-Smale condition does not hold.
Gianni Arioli
doaj  

Two-parameter nonsmooth grazing bifurcations of limit cycles: classification and open problems

, 2005
This paper proposes a strategy for the classification of codimension-two grazing bifurcations of limit cycles in piecewise smooth systems of ordinary differential equations.
Homer, ME, Piiroinen, PT, Kowalczyk, PS, Hogan, SJ, Nordmark, A, Champneys, AR, Kuznetsov, YA, di Bernardo, M   +7 more
core  

A Nonsmooth Morse-Sard Theorem for Subanalytic Functions

, 2005
According to the Morse–Sard theorem, any sufficiently smooth function on a Euclidean space remains constant along any arc of critical points. We prove here a theorem of Morse–Sard type suitable as a tool in variational analysis: we broaden the definition
Bolte, Jérôme, Adrian Lewis, Daniilidis, Aris, Lewis, Adrian, Jérôme Bolte, Aris Daniilidis   +5 more
core   +1 more source

General Semi-Infinite Programming: Critical Point Theory

, 2011
We study General Semi-Infinite Programming (GSIP) from a topological point of view. Under the Symmetric Mangasarian-Fromovitz Constraint Qualification (Sym-MFCQ) two basic theorems from Morse theory (deformation theorem and cell-attachment theorem) are ...
Jongen, Hubertus Th., H.Th. Jongen, V. Shikhman, Shikhman, Vladimir   +3 more
core   +1 more source

Non-smooth extension of a three critical points theorem by Ricceri with an application to p(x)-Laplacian differential inclusions

Electronic Journal of Differential Equations, 2015
We extend a smooth Ricceri three critical-points theorem to a non-smooth case. Our approach is based on the non-smooth analysis. As an application, we obtain the existence of at least three critical points for a p(x)-Laplacian differential inclusion.
Ziqing Yuan, Lihong Huang
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