Results 41 to 50 of about 153 (146)
Discontinuous Variational-Hemivariational Inequalities Involving the
Journal of Inequalities and Applications, 2007 We deal with discontinuous quasilinear elliptic variational-hemivariational inequalities. By using the method of sub- and supersolutions and based on the results of S. Carl, we extend the theory for discontinuous problems.
Winkert Patrick
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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
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Multiple solutions for a system involving an anisotropic variable exponent operator
Boundary Value Problems, 2022 In this paper, the existence of a solution for an anisotropic variable exponent system is obtained and proved under general hypotheses. By considering additional conditions, it is proved a multiplicity result.
Leandro S. Tavares
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Limits of cubic differentials and buildings
Proceedings of the London Mathematical Society, Volume 132, Issue 4, April 2026.Abstract In the Labourie–Loftin parameterization of the Hitchin component of surface group representations into SL(3,R)$\mathrm{SL}(3,\mathbb {R})$, we prove an asymptotic formula for holonomy along rays in terms of local invariants of the holomorphic differential defining that ray.
John Loftin +2 more
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Rendiconti Lincei, Matematica e Applicazioni, 2023 In this paper, we study quasilinear elliptic systems driven by variable exponent double phase operators involving fully coupled right-hand sides and nonlinear boundary conditions. The aim of our work is to establish an enclosure and existence result for such systems by means of trapping regions formed by pairs of sub- and supersolutions.
Guarnotta, Umberto +2 more
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On Parabolic Variational Inequalities with Multivalued Terms and Convex Functionals
Advanced Nonlinear Studies, 2018 In this paper, we consider the following parabolic variational inequality containing a multivalued term and a convex functional: Find u∈Lp(0,T;W01,p(Ω)){u\in L^{p}(0,T;W^{1,p}_{0}(\Omega))} and f∈F(⋅,⋅,u){f\in F(\cdot,\cdot,u)} such that u(⋅,0)=u0{u(\
Le Vy Khoi, Schmitt Klaus
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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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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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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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On the sub-supersolution method for \(p(x)\)-Laplacian equations
Journal of Mathematical Analysis and Applications, 2007 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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