Results 31 to 40 of about 551 (71)
Some recent results on singular p-Laplacian equations
Demonstratio Mathematica, 2022 A short account of some recent existence, multiplicity, and uniqueness results for singular p-Laplacian problems either in bounded domains or in the whole space is performed, with a special attention to the case of convective reactions.
Guarnotta Umberto +2 more
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Some class of nonlinear inequalities with gradient constraints in Orlicz spaces
Moroccan Journal of Pure and Applied Analysis, 2020 In the present paper, we show the existence of solutions of some nonlinear inequalities of the form 〈Au + g(x, u,∇ u), v −u〉 ≥〈 f, v −u〉 with gradient constraint that depend on the solution itself, where A is a Leray-Lions operator defined on Orlicz ...
Ajagjal S., Meskine D.
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Advances in Nonlinear Analysis, 2021 In this paper we study double phase problems with nonlinear boundary condition and gradient dependence. Under quite general assumptions we prove existence results for such problems where the perturbations satisfy a suitable behavior in the origin and at ...
Manouni Said El +2 more
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A Short Proof of H\"older Continuity for Functions in DeGiorgi Classes
, 2017 The goal of this note is to give an alternative proof of local H\"older continuity for functions in DeGiorgi classes based on an idea of Moser.Comment: 5 ...
Klaus, Colin, Liao, Naian
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Wiener criteria for existence of large solutions of quasilinear elliptic equations with absorption [PDF]
, 2014 We obtain sufficient conditions expressed in terms of Wiener type tests involving Hausdorff or Bessel capacities for the existence of large solutions to equations (1) $-\Gd_pu+e^{\lambda u}+\beta=0$ or (2) $-\Gd_pu+\lambda |u|^{q-1}u+\beta=0$ in a ...
Quoc, Hung Nguyen, Veron, Laurent
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The Soap Bubble Theorem and a $p$-Laplacian overdetermined problem [PDF]
, 2019 We consider the $p$-Laplacian equation $-\Delta_p u=1$ for ...
Colasuonno, Francesca, Ferrari, Fausto
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A remark on an overdetermined problem in Riemannian Geometry
, 2015 Let $(M,g)$ be a Riemannian manifold with a distinguished point $O$ and assume that the geodesic distance $d$ from $O$ is an isoparametric function. Let $\Omega\subset M$ be a bounded domain, with $O \in \Omega$, and consider the problem $\Delta_p u = -1$
A Enciso +20 more
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Pointwise estimates of Brezis-Kamin type for solutions of sublinear elliptic equations [PDF]
, 2016 We study quasilinear elliptic equations of the type $$-\Delta_pu=\sigma \, u^q \quad \text{in} \, \, \, \mathbb{R}^n,$$ where $\Delta_p u=\nabla \cdot(\nabla u |\nabla u|^{p-2})$ is the $p$-Laplacian (or a more general $\mathcal{A}$-Laplace operator ...
Cao, Dat T., Verbitsky, Igor E.
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Quasilinear Dirichlet problems with competing operators and convection
Open Mathematics, 2020 The paper deals with a quasilinear Dirichlet problem involving a competing (p,q)-Laplacian and a convection term. Due to the lack of ellipticity, monotonicity and variational structure, the known methods to find a weak solution are not applicable.
Motreanu Dumitru
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Positive solutions for nonvariational Robin problems
, 2018 We study a nonlinear Robin problem driven by the $p$-Laplacian and with a reaction term depending on the gradient (the convection term). Using the theory of nonlinear operators of monotone-type and the asymptotic analysis of a suitable perturbation of ...
Papageorgiou, Nikolaos S. +2 more
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