Results 51 to 60 of about 4,342 (106)
On the removability of isolated singular points for elliptic equations involving variable exponent
Advances in Nonlinear Analysis, 2016 In this paper, we study the problem of removable isolated singularities for elliptic equations with variable exponents. We give a sufficient condition for removability of the isolated singular point for the equations in W1,p(x)(Ω)${W^{1,p(x)}(\Omega )}$.
Fu Yongqiang, Shan Yingying
doaj +1 more source
Multiple solutions for weighted Kirchhoff equations involving critical Hardy-Sobolev exponent
Advances in Nonlinear Analysis, 2020 In this article, we consider a class of Kirchhoff equations with critical Hardy-Sobolev exponent and indefinite nonlinearity, which has not been studied in the literature. We prove very nicely that this equation has at least two solutions in ℝ3. And some
Shen Zupei, Yu Jianshe
doaj +1 more source
Elliptic problems with nonmonotone discontinuities at resonance (Erratum)
, 2004 Abstract and Applied Analysis, Volume 2004, Issue 3, Page 269-270, 2004.
Halidias Nikolaos
wiley +1 more source
Dirichlet problem for quasi-linear elliptic equations
Electronic Journal of Differential Equations, 2002 We study the Dirichlet Problem associated to the quasilinear elliptic problem $$ -sum_{i=1}^{n}frac{partial }{partial x_i}mathcal{A}_i(x,u(x), abla u(x))+mathcal{B}(x,u(x),abla u(x))=0.
Azeddine Baalal, Nedra Belhaj Rhouma
doaj
Advances in Nonlinear Analysis, 2018 In this paper, we prove the gradient estimate for renormalized solutions to quasilinear elliptic equations with measure data on variable exponent Lebesgue spaces with BMO coefficients in a Reifenberg flat domain.
Bui The Anh
doaj +1 more source
Ground state sign-changing solutions for a class of quasilinear Schrödinger equations
Open Mathematics, 2021 In this paper, we consider the following quasilinear Schrödinger equation: −Δu+V(x)u+κ2Δ(u2)u=K(x)f(u),x∈RN,-\Delta u+V\left(x)u+\frac{\kappa }{2}\Delta \left({u}^{2})u=K\left(x)f\left(u),\hspace{1.0em}x\in {{\mathbb{R}}}^{N}, where N≥3N\ge 3, κ>0\kappa \
Zhu Wenjie, Chen Chunfang
doaj +1 more source
Advances in Nonlinear Analysis, 2019 In this paper, we consider the nonlinear eigenvalue problem:
Khalil Abdelouahed El +3 more
doaj +1 more source
Inequalities for Green's operator applied to the minimizers
Journal of Inequalities and Applications, 2011 In this paper, we prove both the local and global Lφ -norm inequalities for Green's operator applied to minimizers for functionals defined on differential forms in Lφ -averaging domains.
Ding Shusen, Agarwal Ravi
doaj
Partial regularity of stable solutions to the fractional Geľfand-Liouville equation
Advances in Nonlinear Analysis, 2021 We analyze stable weak solutions to the fractional Geľfand ...
Hyder Ali, Yang Wen
doaj +1 more source
Alexey Vasilyevich Pogorelov, the mathematician of an incredible power [PDF]
arXiv, 2008 Life and the mathematical legacy of the great mathematician A.V. Pogorelov.
arxiv +1 more source