Results 21 to 30 of about 13,124,526 (179)

Positive radial symmetric solutions for a class of elliptic problems with critical exponent and -1 growth

open access: yesAdvances 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
doaj   +1 more source

Multiple solutions to a class of inclusion problems with operator involving p(x)-Laplacian

open access: yesElectronic 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
doaj   +1 more source

Variational Methods for Nonsmooth Mechanics [PDF]

open access: yes, 2003
In this thesis we investigate nonsmooth classical and continuum mechanics and its discretizations by means of variational numerical and geometric methods.
Fetecau, Razvan Constantin
core   +1 more source

KKT reformulation and necessary conditions for optimality in nonsmooth bilevel optimization [PDF]

open access: yes, 2014
For a long time, the bilevel programming problem has essentially been considered as a special case of mathematical programs with equilibrium constraints (MPECs), in particular when the so-called KKT reformulation is in question.
Zemkoho, Alain B., Dempe, Stephan
core   +1 more source

Multiplicity of Solutions for a Modified Schrödinger-Kirchhoff-Type Equation in  RN

open access: yesDiscrete Dynamics in Nature and Society, 2015
We study the existence of infinitely many solutions for a class of modified Schrödinger-Kirchhoff-type equations by the dual method and the nonsmooth critical point theory.
Xiumei He
doaj   +1 more source

Constant Sign and Nodal Solutions for Problems with the p-Laplacian and a Nonsmooth Potential Using Variational Techniques

open access: yesBoundary Value Problems, 2009
We consider a nonlinear elliptic equation driven by the p-Laplacian with a nonsmooth potential (hemivariational inequality) and Dirichlet boundary condition.
Ravi P. Agarwal   +3 more
doaj   +1 more source

Sensor-based motion planning via nonsmooth analysis [PDF]

open access: yes, 2002
In this thesis we present a novel approach to sensor-based motion planning developed using the mathematical tools provided by the field of nonsmooth analysis.
Rusaw, Shawn., Rusaw, Shawn
core   +1 more source

Existence and concentration of positive solutions for a class of discontinuous quasilinear Schrödinger problems in R N $\mathbb{R}^{N}$

open access: yesBoundary Value Problems, 2020
In this paper, a class of quasilinear Schrödinger equations with discontinuous nonlinearity is considered. After changing variables, by using nonsmooth critical point theory, we obtain the existence and concentration of positive solutions for this ...
Ziqing Yuan
doaj   +1 more source

Multiple positive solutions for a logarithmic Schrödinger–Poisson system with singular nonelinearity

open access: yesElectronic Journal of Qualitative Theory of Differential Equations, 2021
In this article, we devote ourselves to investigate the following logarithmic Schrödinger–Poisson systems with singular nonlinearity \begin{equation*} \begin{cases} -\Delta u+\phi u= |u|^{p-2}u\log|u|+\frac{\lambda}{u^\gamma}, &\rm \mathrm{in ...
Linyan Peng   +4 more
doaj   +1 more source

Lateral fligh control design for a highly flexible aircraft using a nonsmooth method [PDF]

open access: yes, 2009
This paper describes a nonsmooth optimization technique for designing a lateral flight control law for a highly flexible aircraft. Flexible modes and high-dimensional models pose a major challenge to modern control design tools.
H. D. Tuan   +7 more
core   +1 more source

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