Results 131 to 139 of about 4,712 (139)

Constant sign and nodal solutions for parametric (p, 2)-equations

Advances in Nonlinear Analysis, 2019
Papageorgiou Nikolaos S., Scapellato Andrea   +1 more
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An example of everywhere Hölder continuity for a weak solution of a particular vectorial problem

, 2020
In this paper we get a regularity resul for a weak solution of a particular vectorial problem.
Tiziano Granucci
semanticscholar   +1 more source

Fractional estimates for non-differentiable elliptic systems with general growth

, 2008
In this paper we study the regularity of weak solutions of the elliptic system -div(A(x,∇u)) = b(x,∇u) with non-standard ϕ-growth condition. Here ϕ is a given Orlicz function.
L. Diening, F. Ettwein
semanticscholar   +1 more source

One-dimensional symmetry of bounded entire solutions of some elliptic equations

, 2000
This paper is about one-dimensional symmetry properties for some entire and bounded solutions of ∆u + f(u) = 0 in IR. We consider solutions u such that −1 < u < 1 and u(x1, · · · , xn) → ±1 as xn → ±∞, uniformly with respect to x1, · · · , xn−1.
H. Berestycki, F. Hamel, R. Monneau
semanticscholar   +1 more source

A Note on Very Weak Solutions for a Class of Nonlinear Elliptic Equations

Sarajevo Journal of Mathematics
We prove a new a priori estimate for very weak solutions of a class of nonlinear elliptic equations.   2000 Mathematics Subject Classification.
Juling Li, Hongya Gao
semanticscholar   +1 more source

On some singular nonlinear problems for monotone elliptic operators

Rendiconti Lincei - Matematica e Applicazioni, 2019
The goal of this note is to study some class of problems associated to nonlinear operators of the p-Laplacian type with source term having a singularity at the origin. AMS Subject Classification: 35J15, 35J25, 35J60, 35J65, 35J75, 35J92.
M. Chipot
semanticscholar   +1 more source

General Uniqueness Results and Variation Speed for Blow‐Up Solutions of Elliptic Equations

, 2005
Let Ω be a smooth bounded domain in RN. We prove general uniqueness results for equations of the form − Δ u = au − b(x) f(u) in Ω, subject to u = ∞ on ∂ Ω.
F. Cîrstea, Yihong Du
semanticscholar   +1 more source

Positive Solutions for Some Weighted Elliptic Problems

, 2020
In this study, we study the existence and the nonexistence of positive solutions for the following nonlinear elliptic problems:  (P)where, Ω is a regular bounded domain in ℝ , N ≥ 2, a(x) is a smooth function on   and f(x, s) is asymptotically linear in ...
H. Zahed
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Recent developments in elliptic partial differential equations of Monge-Ampere type

, 2006
In conjunction with applications to optimal transportation and conformal geometry, there has been considerable research activity in recent years devoted to fully nonlinear, elliptic second order partial differential equations of a particular form, given ...
N. Trudinger
semanticscholar   +1 more source