Results 81 to 90 of about 494 (174)

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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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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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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Periodic solutions for nonautonomous systems with nonsmooth quadratic or superquadratic potential [PDF]

, 2004
We study a semilinear nonautonomous second order periodic system with a nonsmooth potential function which exhibits a quadratic or superquadratic growth.
Motreanu, Viorica V., Motreanu, Dumitru, Papageorgiou, Nikolaos S.   +2 more
core  

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
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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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On the existence of three nontrivial solutions for periodic problems driven by the scalar p-Laplacian [PDF]

, 2011
We consider a nonlinear periodic problem driven by the scalar p-Laplacian with a nonsmooth potential function. First we establish an alternative minimax expression for the first nonzero eigenvalue for the negative periodic scalar p-Laplacian and then ...
Papalini, F, PAPALINI, Francesca, Papageorgiou, NS, PAPAGEORGIOU N   +3 more
core  

Multiplicity of solutions for some degenerate quasilinear elliptic equations

Electronic Journal of Differential Equations, 2009
We show the existence of infinitely many solutions for a symmetric quasilinear problem whose principal part is degenerate.
Viviana Solferino
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Existence of solutions for discontinuous p(x)-Laplacian problems with critical exponents

Electronic Journal of Differential Equations, 2012
In this article, we study the existence of solutions to the problem $$displaylines{ -hbox{div}(|abla u|^{p(x)-2}abla u) =lambda |u|^{p^{*}(x)-2}u + f(u)quad x in Omega ,cr u = 0 quad x in partialOmega, }$$ where $Omega$ is a smooth bounded domain ...
Xudong Shang, Zhigang Wang
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Multiple positive solutions for Schrödinger-Poisson system with singularity on the Heisenberg group

Journal of Inequalities and Applications
In this work, we study the following Schrödinger-Poisson system { − Δ H u + μ ϕ u = λ u − γ , in  Ω , − Δ H ϕ = u 2 , in  Ω , u > 0 , in  Ω , u = ϕ = 0 , on  ∂ Ω , $$ \textstyle\begin{cases} -\Delta _{H}u+\mu \phi u=\lambda u^{-\gamma}, &\text{in ...
Guaiqi Tian, Yucheng An, Hongmin Suo
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