Results 51 to 60 of about 153 (146)
Archiv der Mathematik, 2020 This paper deals with the existence of positive solutions for a class of anisotropic equations with power-type reaction. A key tool in the analysis developed in this paper is played by the sub-supersolution method. The paper is very well written and the approach can be extended to other classes of anisotropic elliptic equations.
Simone Ciani +2 more
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A sub-supersolution method for nonlinear elliptic singular systems with natural growth and some applications [PDF]
Nonlinear Analysis, 2016 In this paper we give a sub-supersolution method for nonlinear elliptic singular systems with quadratic gradient whose model system is the following where Ω is a smooth bounded domain of RN (N≥3), β,μ≥0 ...
Carmona Tapia, José +2 more
openaire +5 more sources
Revisiting the method of sub- and supersolutions for nonlinear elliptic problems
Electronic Journal of Differential Equations, 2007 We discuss some of the historical highlights of the theory of sub- supersolutions for boundary value problems for nonlinear elliptic equations and variational inequalities.
Klaus Schmitt
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Proceedings of the London Mathematical Society, Volume 132, Issue 2, February 2026.Abstract This paper investigates boundary‐layer solutions of the singular Keller–Segel system (proposed in Keller and Segel [J. Theor. Biol. 30 (1971), 377–380]) in multi‐dimensional domains, which describes cells' chemotactic movement toward the concentration gradient of the nutrient they consume, subject to a zero‐flux boundary condition for the cell
Jose A. Carrillo +3 more
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
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Multiplicity of solutions for fractional p ( z ) $p ( z ) $ -Kirchhoff-type equation
Journal of Inequalities and ApplicationsThis 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 +2 more
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Existence of Three Positive Solutions for a Nonlocal Singular Dirichlet Boundary Problem
Advanced Nonlinear Studies, 2019 In this article, we prove the existence of at least three positive solutions for the following nonlocal singular problem:
Giacomoni Jacques +2 more
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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 +2 more
wiley +1 more source
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
A remark on the existence of large solutions via sub and supersolutions
Electronic Journal of Differential Equations, 2003 We study the boundary blow-up elliptic problem $Delta u=a(x) f(u)$ in a smooth bounded domain $Omegasubset mathbb{R}^N$, with $u|_{partialOmega}=+infty$. Under suitable growth assumptions on $a$ near $partialOmega$ and on $f$ both at zero and at infinity,
Jorge Garcia-Melian
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