Results 61 to 70 of about 238 (179)

Existence and comparison results for quasilinear evolution hemivariational inequalities

Electronic Journal of Differential Equations, 2004
We generalize the sub-supersolution method known for weak solutions of single and multivalued nonlinear parabolic problems to quasilinear evolution hemivariational inequalities.
Siegfried Carl, Vy K. Le, Dumitru Motreanu   +2 more
doaj  

Nonexistence of local minima of supersolutions for the circular clamped plate [PDF]

Pacific Journal of Mathematics, 2001
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Grunau, Hans-Christoph, Sweers, Guido
openaire   +1 more source

On classification of global dynamics for energy‐critical equivariant harmonic map heat flows and radial nonlinear heat equation

Communications on Pure and Applied Mathematics, Volume 78, Issue 9, Page 1783-1842, September 2025.
Abstract We consider the global dynamics of finite energy solutions to energy‐critical equivariant harmonic map heat flow (HMHF) and radial nonlinear heat equation (NLH). It is known that any finite energy equivariant solutions to (HMHF) decompose into finitely many harmonic maps (bubbles) separated by scales and a body map, as approaching to the ...
Kihyun Kim, Frank Merle
wiley   +1 more source

The robust Orlicz risk with an application to the green photovoltaic power generation

Asian Journal of Control, Volume 27, Issue 4, Page 1655-1667, July 2025.
Abstract We propose a novel recursive utility for controlling stochastic processes under risk and uncertainty. Our formulation uses a robustified Orlicz risk that can evaluate risk and uncertainty simultaneously. We focus on the control problem of a photovoltaic power generation system that supplies excess electricity for the secondary purpose of ...
Hidekazu Yoshioka, Motoh Tsujimura
wiley   +1 more source

Ambrosetti-Prodi type results in a system of second and fourth-order ordinary differential equations

Electronic Journal of Differential Equations, 2008
In this paper, by the variational method, we study the existence, nonexistence, and multiplicity of solutions of an Ambrosetti-Prodi type problem for a system of second and fourth order ordinary differential equations.
Jing Feng, Yukun An
doaj  

Existence of Positive Solutions for Non-Local Magnetic Fractional Systems

Fractal and Fractional
In this paper, the existence of a weak positive solution for non-local magnetic fractional systems is studied in the fractional magnetic Sobolev space through a sub-supersolution method combined with iterative techniques.
Tahar Bouali, Rafik Guefaifia, Salah Boulaaras, Taha Radwan   +3 more
doaj   +1 more source

An elliptic system with logarithmic nonlinearity

Advances in Nonlinear Analysis, 2017
In the present paper, we study the existence of solutions for some classes of singular systems involving the Δp⁢(x){\Delta_{p(x)}} and Δq⁢(x){\Delta_{q(x)}} Laplacian operators. The approach is based on bifurcation theory and the sub-supersolution method
Alves Claudianor, Moussaoui Abdelkrim, Tavares Leandro   +2 more
doaj   +1 more source

Supersolutions for a class of nonlinear parabolic systems

Journal of Differential Equations, 2016
In this paper, by using scalar nonlinear parabolic equations, we construct supersolutions for a class of nonlinear parabolic systems including $$ \left\{\begin{array}{ll} \partial_t u=Δu+v^p,\qquad & x\inΩ,\,\,\,t>0,\\ \partial_t v=Δv+u^q, & x\inΩ,\,\,\,t>0,\\ u=v=0, & x\in\partialΩ,\,\,\,t>0,\\ (u(x,0), v(x,0))=(u_0(x),v_0(x ...
Kazuhiro Ishige, Tatsuki Kawakami, Mikołaj Sierżȩga   +2 more
openaire   +3 more sources

Polar Coordinates for the 3/2 Stochastic Volatility Model

Mathematical Finance, Volume 35, Issue 3, Page 708-723, July 2025.
ABSTRACT The 3/2 stochastic volatility model is a continuous positive process s with a correlated infinitesimal variance process ν$\nu $. The exact definition is provided in the Introduction immediately below. By inspecting the geometry associated with this model, we discover an explicit smooth map ψ$ \psi $ from (R+)2$({\mathbb{R}}^+)^2 $ to the ...
Paul Nekoranik
wiley   +1 more source

Existence of solutions to p-Laplace equations with logarithmic nonlinearity

Electronic Journal of Differential Equations, 2009
This article concerns the the nonlinear elliptic equation $$ -hbox{div}(| abla u|^{p-2} abla u) =log u^{p-1}+lambda f(x,u) $$ in a bounded domain $Omega subset mathbb{R}^{N}$ with $Ngeq 1$ and $u=0$ on $partialOmega$.
Jing Mo, Zuodong Yang
doaj