Results 31 to 40 of about 811 (206)

On Liouville theorem and Hölder continuity of weak solutions to some quasilinear elliptic systems of higher order [PDF]

, 1992
summary:The aim of this paper is to show that the Liouville-type property is a sufficient and necessary condition for the regularity of weak solutions of quasilinear elliptic systems of higher ...
Balanda, Lubomír, Viszus, Eugen
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Existence for (p, q) critical systems in the Heisenberg group

Advances in Nonlinear Analysis, 2019
This paper deals with the existence of entire nontrivial solutions for critical quasilinear systems (𝓢) in the Heisenberg group ℍn, driven by general (p, q) elliptic operators of Marcellini types.
Pucci Patrizia, Temperini Letizia
doaj   +1 more source

The Solvability of Concave-Convex Quasilinear Elliptic Systems Involving $p$-Laplacian and Critical Sobolev Exponent [PDF]

Sahand Communications in Mathematical Analysis, 2018
In this work, we study the existence of non-trivial multiple solutions for a class of quasilinear elliptic systems equipped with concave-convex nonlinearities and critical growth terms in bounded domains.
Somayeh Khademloo, Saeed Khanjany Ghazi
doaj   +1 more source

Multiple Solutions for a Singular Quasilinear Elliptic System

The Scientific World Journal, 2013
We consider the multiplicity of nontrivial solutions of the following quasilinear elliptic system −div(|x|−ap|∇u|p−2∇u) + f1(x)|u|p−2u = (α/(α + β))g(x)|u|α−2u|v|β + λh1(x)|u|γ−2u + l1(x), −div(|x|−ap|∇v|p−2∇v) + f2(x)|v|p−2v = (β/(α + β))g(x)|v|β−2v|u|α + μh2(x)|v|γ−2v + l2(x), u(x) > 0, v(x) > 0, x ∈ ℝN, where λ, μ > 0, 1 < p < N, 1 ...
Lin Chen, Caisheng Chen, Zonghu Xiu
openaire   +3 more sources

Singular quasilinear elliptic systems involving gradient terms [PDF]

, 2020
In this paper we establish the existence of at least one smooth positive solution for a singular quasilinear elliptic system involving gradient terms.
Candito P., Livrea R., Moussaoui A.
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Local Regularity For Elliptic Systems With p, q-Growth

Bruno Pini Mathematical Analysis Seminar, 2015
In this paper we consider quasilinear elliptic systems with p, q-growth. We discuss some aspects of the theory of regularity for systems and we state a local boundedness result for weak solutions, obtained in collaboration with P. Marcellini. Moreover, a
Giovanni Cupini, Elvira Mascolo
doaj   +1 more source

Existence of multiple positive solutions for quasilinear elliptic systems involving critical hardy–sobolev exponents and sign-changing weight function

Mathematical Modelling and Analysis, 2012
In this paper, we consider a class of quasilinear elliptic systems with weights and the nonlinearity involving the critical Hardy–Sobolev exponent and one sign-changing function.
Nemat Nyamoradi
doaj   +1 more source

Solvability of Parametric Elliptic Systems with Variable Exponents

Moroccan Journal of Pure and Applied Analysis, 2023
In this paper, we study the solvability to the left of the positive infimum of all eigenvalues for some non-resonant quasilinear elliptic problems involving variable exponents.
Ouannasser Anass, El Hachimi Abderrahmane   +1 more
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Quasilinear and singular elliptic systems [PDF]

, 2020
. In this paper, we investigate the following quasilinear elliptic and singular system (P): where Ω is an open bounded domain with smooth boundary ...
R N, Paul Sauvy, Jacques Giacomoni, Jesús Hernandez   +3 more
core  

Multiple solutions for a nonhomogeneous quasilinear sub-elliptic system with critical growth and logarithmic perturbation

Demonstratio Mathematica
The interest of this paper is that we use the critical point theory to prove the existence of a sequence of non-trivial solutions for a class of nonhomogeneous quasilinear Sub-elliptic systems with critical growth and logarithmic perturbation.
An Yu-Cheng, An Bi-Jun
doaj   +1 more source