Results 91 to 100 of about 9,842 (165)

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  

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
doaj  

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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Design of Nonsmooth Groove Tire Bioinspired by Shark-Skin Riblet Structure. [PDF]

Appl Bionics Biomech, 2022
Liu C, Meng H, Lu S, Li A, Xu C, Sun Y, Wang G.   +6 more
europepmc   +1 more source

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
doaj  

Convex optimization algorithms in medical image reconstruction-in the age of AI. [PDF]

Phys Med Biol, 2022
Xu J, Noo F.
europepmc   +1 more source

Compactness via monotonicity in nonsmooth critical point theory, with application to Born-Infeld type equations

59 pages.
Byeon, Jaeyoung, Ikoma, Norihisa, Malchiodi, Andrea, Mari, Luciano   +3 more
openaire   +2 more sources

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
doaj   +1 more source

Variational and phase response analysis for limit cycles with hard boundaries, with applications to neuromechanical control problems. [PDF]

Biol Cybern, 2022
Wang Y, Gill JP, Chiel HJ, Thomas PJ.
europepmc   +1 more source

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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