Results 51 to 60 of about 416 (68)
Two solutions for Dirichlet double phase problems with variable exponents
This paper is devoted to the study of a double phase problem with variable exponents and Dirichlet boundary condition. Based on an abstract critical point theorem, we establish existence results under very general assumptions on the nonlinear term, such ...
Amoroso Eleonora +3 more
doaj +1 more source
Ireneo Peral: Forty Years as Mentor
In this article we present a survey of the Ph.D. theses that have been completed under the advice of Ireneo Peral.Following a chronological order, we summarize the main results contained in the works of the former students of Ireneo Peral.
Abdellaoui Boumediene +9 more
doaj +1 more source
On the convergence rate of the Kačanov scheme for shear-thinning fluids. [PDF]
Heid P, Süli E.
europepmc +1 more source
Asymptotic behavior of the eigenvalues of the p(x)-Laplacian
We obtain asymptotic estimates for the eigenvalues of the p(x)-Laplacian defined consistently with a homogeneous notion of first eigenvalue recently introduced in the literature.Comment: 10 pages, revised ...
Perera, Kanishka, Squassina, Marco
core
Improved results on planar Klein-Gordon-Maxwell system with critical exponential growth
This work is concerned with the following Klein-Gordon-Maxwell system: −Δu+V(x)u−(2ω+ϕ)ϕu=f(u),x∈R2,Δϕ=(ω+ϕ)u2,x∈R2,\left\{\begin{array}{ll}-\Delta u+V\left(x)u-\left(2\omega +\phi )\phi u=f\left(u),\hspace{1.0em}& x\in {{\mathbb{R}}}^{2},\\ \Delta \phi =
Wen Lixi, Jin Peng
doaj +1 more source
On problems in the calculus of variations in increasingly elongated domains
We consider minimization problems in the calculus of variations set in a sequence of domains the size of which tends to infinity in certain directions and such that the data only depend on the coordinates in the directions that remain constant.
Dret, Hervé Le, Mokrane, Amira
core
Normalized solutions for the Choquard equations with critical nonlinearities
This study is concerned with the existence of normalized solutions for the Choquard equations with critical nonlinearities −Δu+λu=f(u)+(Iα∗∣u∣2α*)∣u∣2α*−2u,inRN,∫RN∣u∣2dx=a2,\left\{\begin{array}{l}-\Delta u+\lambda u=f\left(u)+\left({I}_{\alpha }\ast ...
Gao Qian, He Xiaoming
doaj +1 more source
Existence of multiple solutions for a quasilinear elliptic problem
In this paper we prove the existence of multiple solutions for a quasilinear elliptic boundary value problem, when the p-derivative at zero and the p-derivative at infinity of the nonlinearity are greater than the first eigenvalue of the p-Laplace ...
Cossio, Jorge +2 more
core
A generalized p-Laplacian problem with parameters
In recent years, research into the multiplicity of solutions to the pp-Laplace operator problem has attracted attention, and several important results have been investigated and others still remain open.
Zuo Jiabin +3 more
doaj +1 more source
Nodal Solutions for a Quasilinear Elliptic Equation Involving the p-Laplacian and Critical Exponents
This paper is concerned with the following type of quasilinear elliptic equations in ℝN{\mathbb{R}^{N}} involving the p-Laplacian and critical growth:
Deng Yinbin, Peng Shuangjie, Wang Jixiu
doaj +1 more source

