Results 51 to 60 of about 186 (147)

Multiplicity of solutions for fractional p ( z ) $p ( z ) $ -Kirchhoff-type equation

Journal of Inequalities and Applications
This work deals with the existence and multiplicity of solutions for a class of variable-exponent equations involving the Kirchhoff term in variable-exponent Sobolev spaces according to some conditions, where we used the sub-supersolutions method ...
Tahar Bouali, Rafik Guefaifia, Salah Boulaaras   +2 more
doaj   +1 more source

Viscosity Solutions for First‐Order PDEs With Measurable Coefficients and Superlinear Gradient Growth

Journal of Mathematics, Volume 2026, Issue 1, 2026.
Inspired by a fundamental existence result in the theory of PDEs, we present a general existence theorem for viscosity solutions in the standard sense that is applicable to a wide class of partial differential equations. These equations are characterized by coefficients that are merely measurable, with no continuity assumptions imposed.
S. M. E. Hosseini, S. S. Nezhad, Dimitri Mugnai   +2 more
wiley   +1 more source

Large solutions, metasolutions, and asymptotic behaviour of the regular positive solutions of sublinear parabolic problems

Electronic Journal of Differential Equations, 2000
In this paper we analyze the existence of regular and large positive solutions for a class of non-linear elliptic boundary value problems of logistic type in the presence of refuges.
Julian Lopez-Gomez
doaj  

On uniqueness of solutions to complex Monge–Ampère mean field equations

Bulletin of the London Mathematical Society, Volume 57, Issue 10, Page 3163-3180, October 2025.
Abstract We establish the uniqueness of solutions to complex Monge–Ampère mean field equations when (minus) the temperature parameter is small. In the local setting of bounded hyperconvex domains, our result partially confirms a conjecture by Berman and Berndtsson. Our approach also extends to the global context of compact complex manifolds.
Chinh H. Lu, Trong‐Thuc Phung
wiley   +1 more source

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

Existence of solutions for a nonlinear degenerate elliptic system

Electronic Journal of Differential Equations, 2004
In this paper, we study the existence of solutions for degenerate elliptic systems. We use the sub-super solution method, and the existence of classical and weak solutions.
Nguyen Minh, Tran Dinh Ke
doaj  

Positive solutions of higher order quasilinear elliptic equations

Abstract and Applied Analysis, 2002
The higher order quasilinear elliptic equation −Δ(Δp(Δu))=f(x,u) subject to Dirichlet boundary conditions may have unique and regular positive solution. If the domain is a ball, we obtain a priori estimate to the radial solutions via blowup.
Marcelo Montenegro
doaj   +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

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