Results 41 to 50 of about 186 (147)
Nonuniqueness of solutions of initial-value problems for parabolic p-Laplacian
Electronic Journal of Differential Equations, 2015 We construct a positive solution to a quasilinear parabolic problem in a bounded spatial domain with the p-Laplacian and a nonsmooth reaction function. We obtain nonuniqueness for zero initial data.
Jiri Benedikt +4 more
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Asymptotic behavior of solutions to a class of coupled nonlinear parabolic systems
Boundary Value Problems, 2019 This paper studies the Cauchy problem to a class of coupled nonlinear parabolic systems and investigates the asymptotic behavior of solutions to the problem.
Yan Leng, Yuanyuan Nie, Qian Zhou
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Supersolutions, monotone iterations, and stability
Journal of Differential Equations, 1976 where f: B x R + R is a continuously differentiable function which is increasing with respect to the second variable. Problems of this type arise in many applications, in particular in physics and chemical engineering (cf. [2, 8, 17, 231 for further references). In this connection positive solutions are of particular interest.
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Generalized Global Supersolutions with Mass Control for Systems with Taxis [PDF]
SIAM Journal on Mathematical Analysis, 2019 arXiv admin note: text overlap with arXiv:1804.05333 Changes: $v>0$ a.e.
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Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 1, March 2026.ABSTRACT Regularity properties of solutions for a class of quasi‐stationary models in one spatial dimension for stress‐modulated growth in the presence of a nutrient field are proven. At a given point in time the configuration of a body after pure growth is determined by means of a family of ordinary differential equations in every point in space ...
Julian Blawid, Georg Dolzmann
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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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Liouville properties for differential inequalities with (p,q)$(p,q)$ Laplacian operator
Journal of the London Mathematical Society, Volume 113, Issue 3, March 2026.Abstract In this paper, we establish several Liouville‐type theorems for a class of nonhomogenenous quasilinear inequalities. In the first part, we prove various Liouville results associated with nonnegative solutions to Ps$P_s$ −Δpu−Δqu⩾us−1inΩ,$$\begin{equation} -\Delta _p u-\Delta _q u\geqslant u^{s-1} \, \text{ in }\, \Omega, \end{equation}$$where ...
Mousomi Bhakta +2 more
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Sharp Nonexistence Results for a Linear Elliptic Inequality Involving Hardy and Leray Potentials
Journal of Inequalities and Applications, 2011 We deal with nonnegative distributional supersolutions for a class of linear elliptic equations involving inverse-square potentials and logarithmic weights. We prove sharp nonexistence results.
Musina Roberta, Fall MouhamedMoustapha
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Liouville theorems for nonlocal operators with conical diffusion
Bruno Pini Mathematical Analysis SeminarWe consider linear stable operators whose spectral measure is assumed to be positive only on a relatively open subset of the unit sphere, the aim being to present semilinear Liouville-type results for positive supersolutions in a half-space.
Giulio Galise
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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
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