Results 71 to 80 of about 1,698 (113)

Existence and regularity of weak solutions to the prescribed mean curvature equation for a nonparametric surface

, 1999
Abstract and Applied Analysis, Volume 4, Issue 1, Page 61-69, 1999.
P. Amster, M. Cassinelli, M. C. Mariani, D. F. Rial   +3 more
wiley   +1 more source

Noncoercive resonant (p,2)-equations with concave terms

Advances in Nonlinear Analysis, 2018
We consider a nonlinear Dirichlet problem driven by the sum of a p-Laplace and a Laplacian (a (p,2){(p,2)}-equation). The reaction exhibits the competing effects of a parametric concave term plus a Caratheodory perturbation which is resonant with respect
Papageorgiou Nikolaos S., Zhang Chao
doaj   +1 more source

The concentration-compactness principles for Ws,p(·,·)(ℝN) and application

Advances in Nonlinear Analysis, 2020
We obtain a critical imbedding and then, concentration-compactness principles for fractional Sobolev spaces with variable exponents. As an application of these results, we obtain the existence of many solutions for a class of critical nonlocal problems ...
Ho Ky, Kim Yun-Ho
doaj   +1 more source

Sharp conditions on global existence and blow-up in a degenerate two-species and cross-attraction system

Advances in Nonlinear Analysis, 2021
We consider a degenerate chemotaxis model with two-species and two-stimuli in dimension d ≥ 3 and find two critical curves intersecting at one point which separate the global existence and blow up of weak solutions to the problem.
Carrillo Antonio José, Lin Ke
doaj   +1 more source

Existence and multiplicity of solutions for a new p(x)-Kirchhoff equation

Advances in Nonlinear Analysis
This article is devoted to study a class of new p(x)p\left(x)-Kirchhoff equation. By means of perturbation technique, variational method, and the method invariant sets for the descending flow, the existence and multiplicity of solutions to this problem ...
Chu Changmu, Liu Jiaquan
doaj   +1 more source

Existence results of variable exponent double-phase multivalued elliptic inequalities with logarithmic perturbation and convections

Advances in Nonlinear Analysis
In this study, we deal with a multivalued elliptic variational inequality involving a logarithmic perturbed variable exponents double-phase operator. Additionally, it features a multivalued convection term alongside two multivalued terms, one defined ...
Cen Jinxia, Lu Yasi, Vetro Calogero, Zeng Shengda   +3 more
doaj   +1 more source

Rates of convergence for regression with the graph poly-Laplacian. [PDF]

Sampl Theory Signal Process Data Anal, 2023
Trillos NG, Murray R, Thorpe M.
europepmc   +1 more source

Regularity for critical fractional Choquard equation with singular potential and its applications

Advances in Nonlinear Analysis
We study the following fractional Choquard equation (−Δ)su+u∣x∣θ=(Iα*F(u))f(u),x∈RN,{\left(-\Delta )}^{s}u+\frac{u}{{| x| }^{\theta }}=({I}_{\alpha }* F\left(u))f\left(u),\hspace{1em}x\in {{\mathbb{R}}}^{N}, where N⩾3N\geqslant 3, s∈12,1s\in \left ...
Liu Senli, Yang Jie, Su Yu
doaj   +1 more source

Asymmetric Robin Problems with Indefinite Potential and Concave Terms

Advanced Nonlinear Studies, 2019
We consider a parametric semilinear Robin problem driven by the Laplacian plus an indefinite and unbounded potential. In the reaction, we have the competing effects of a concave term appearing with a negative sign and of an asymmetric asymptotically ...
Papageorgiou Nikolaos S., Rădulescu Vicenţiu D., Repovš Dušan D.   +2 more
doaj   +1 more source

An Agmon-Allegretto-Piepenbrink principle for Schrödinger operators. [PDF]

Rev R Acad Cienc Exactas Fis Nat A Mat, 2022
Buccheri S, Orsina L, Ponce AC.
europepmc   +1 more source