Results 21 to 30 of about 88,801 (291)
Lorentz–Morrey global bounds for singular quasilinear elliptic equations with measure data [PDF]
Communications in Contemporary Mathematics, 2018 The aim of this paper is to present the global estimate for gradient of renormalized solutions to the following quasilinear elliptic problem: [Formula: see text] in Lorentz–Morrey spaces, where [Formula: see text] ([Formula: see text]), [Formula: see ...
Minh-Phuong Tran, Thanh-Nhan Nguyen
semanticscholar +1 more source
Advances in Nonlinear Analysis, 2020 We are concerned with the following quasilinear elliptic equation −Δu−Δ(u2)u=μ|u|q−2u+|u|2⋅2∗−2u,u∈H01(Ω), $$\begin{array}{} \displaystyle -{\it\Delta} u-{\it\Delta}(u^{2})u=\mu |u|^{q-2}u+|u|^{2\cdot 2^*-2}u, u\in H_0^1({\it\Omega}), \end{array}$$(QSE ...
X. Fang, Jianjun Zhang
semanticscholar +1 more source
Quasilinear elliptic equations with subquadratic growth
Journal of Differential Equations, 2006 AbstractIn this paper we consider nonlinear boundary value problems whose simplest model is the following:(0.1){−Δu+ν|u|p−1u=γ|∇u|2θ+f(x)inΩ,u=0on∂Ω, where f(x) is a summable function in Ω (bounded open set in RN, N>2), p>θ(1−θ ...
BOCCARDO, Lucio, PORZIO, Maria Michaela
openaire +2 more sources
On the existence of multiple positive entire solutions for a class of quasilinear elliptic equations
International Journal of Mathematics and Mathematical Sciences, 2006 Our goal is to establish the theorems of existence and multiple of positive entire solutions for a class quasilinear elliptic equations in ℝN with the Schauder-Tychonoff fixed point theorem as the principal tool.
Yang Zuodong
doaj +1 more source
Regularity estimates in weighted Morrey spaces for quasilinear elliptic equations [PDF]
Revista matemática iberoamericana, 2018 We study regularity for solutions of quasilinear elliptic equations of the form $\div \A(x,u,\nabla u) = \div \F $ in bounded domains in $\R^n$. The vector field $\A$ is assumed to be continuous in $u$, and its growth in $\nabla u$ is like that of the $p$
Giuseppe Di Fazio, Truyen V. Nguyen
semanticscholar +1 more source
A new existence result for some nonlocal problems involving Orlicz spaces and its applications
Boundary Value Problems, 2022 This paper studies some quasilinear elliptic nonlocal equations involving Orlicz–Sobolev spaces. On the one hand, a new sub-supersolution theorem is proved via the pseudomonotone operator theory; on the other hand, using the obtained theorem, we present ...
Xiaohui Qiu, Baoqiang Yan
doaj +1 more source
Quasilinear stochastic elliptic equations with reflection
Stochastic Processes and their Applications, 1995 AbstractIn this note we prove the existence and uniqueness of the solution to an elliptic SPDE with and additive white noise reflected at zero. The proof is based on the existence and uniqueness of a strong solution for a class of elliptic variational inequalities.
Samy Tindel, David Nualart
openaire +2 more sources
Quasilinear elliptic equations with VMO coefficients [PDF]
Transactions of the American Mathematical Society, 1995 Strong solvability and uniqueness in Sobolev space W 2 , n ( Ω ) {W^{2,n}}(\Omega ) are proved for the Dirichlet problem \[ { u =
openaire +1 more source
Maximal parabolic regularity for divergence operators including mixed boundary conditions [PDF]
, 2008 We show that elliptic second order operators $A$ of divergence type fulfill maximal parabolic regularity on distribution spaces, even if the underlying domain is highly non-smooth, the coefficients of $A$ are discontinuous and $A$ is complemented with ...
Adams +88 more
core +2 more sources
A Picone identity for variable exponent operators and applications
Advances in Nonlinear Analysis, 2019 In this work, we establish a new Picone identity for anisotropic quasilinear operators, such as the p(x)-Laplacian defined as div(|∇ u|p(x)−2 ∇ u).
Arora Rakesh +2 more
doaj +1 more source