Results 81 to 90 of about 492 (172)

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
doaj  

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  

Three solutions for second-order impulsive differential inclusions with Sturm-Liouville boundary conditions via nonsmooth critical point theory

, 2016
A second-order impulsive differential inclusion with Sturm-Liouville boundary conditions is studied. By using a nonsmooth version of a three critical point theorem of Ricceri, the existence of three solutions is ...
Kong, Lingju, Graef, John R., Tian, Yu, Wang, Min   +3 more
core  

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

Higher-Order Energy Expansions and Spike Locations

, 2004
We consider the following singularly perturbed semilinear elliptic problem: (I)\left\{ \begin{array}{l} \epsilon^{2} \Delta u - u + f(u)=0 \ \ \mbox{in} \ \Omega, \\ u>0 \ \ \mbox{in} \ \ \Omega \ \ \mbox{and} \ \frac{\partial u}{\partial \nu}
Winter, M, Wei, J
core   +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
doaj  

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

Perturbations of even nonsmooth functionals

, 1995
An eigenvalue problem for elliptic variational inequalities is considered. The existence of multiple solutions is proved, when the operator is a small (non-odd) perturbation of an odd operator.
Degiovanni M.
core  

Unbounded critical points for a class of lower semicontinuous functionals

, 2004
In this paper we prove existence and multiplicity results of unbounded critical points for a general class of weakly lower semicontinuous functionals. We will apply a nonsmooth critical point theory developed by Degiovanni et al.
PELLACCI, Benedetta, B. Pellacci, SQUASSINA M., Squassina, Marco, SQUASSINA M, PELLACCI B   +5 more
core   +1 more source

A note on coercivity of lower semicontinuous functions and nonsmooth critical point theory

, 1996
It is well-known that a \(C^1\) functional satisfying the (PS) condition and bounded from below, is coercive. Using the notion of the weak slope of a lower semicontinuous function, defined on a metric space, the above statement is extended to a very general version in this paper, such that almost all known results in this direction are included as ...
openaire   +2 more sources