Results 41 to 50 of about 1,368 (124)
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
Journal of Mathematics, Volume 2024, Issue 1, 2024.In this paper, we consider the following quasilinear p⟶⋅‐elliptic problems with flux boundary conditions of the type −∑i=1N∂/∂xiaix,∂u/∂xi+bxupMx−2u=f1x,u−sgnug1x in Ω,∑i=1Naix,∂u/∂xiνi=cxuqx−2u+f2x,u−sgnug2x on ∂Ω.. Using the Fountain theorem and dual Fountain theorem, we prove the existence and multiplicity of solutions for a given problem, subject ...
Ahmed Ahmed +2 more
wiley +1 more source
Advances in Nonlinear Analysis, 2021 We give a new non-smooth Clark’s theorem without the global symmetric condition. The theorem can be applied to generalized quasi-linear elliptic equations with small continous perturbations.
Huang Chen
doaj +1 more source
, 2013 In this paper, we prove some continuous and compact embedding theorems for weighted Sobolev spaces, and consider both a general framework and spaces of radially symmetric functions.
Guoqing Zhang
semanticscholar +1 more source
On a class of semilinear elliptic problems near critical growth
International Journal of Mathematics and Mathematical Sciences, Volume 21, Issue 2, Page 321-330, 1998., 1997 We use Minimax Methods and explore compact embedddings in the context of Orlicz and Orlicz‐Sobolev spaces to get existence of weak solutions on a class of semilinear elliptic equations with nonlinearities near critical growth. We consider both biharmonic equations with Navier boundary conditions and Laplacian equations with Dirichlet boundary ...
J. V. Goncalves, S. Meira
wiley +1 more source
A local minimum theorem and critical nonlinearities
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2016 In this paper the existence of two positive solutions for a Dirichlet problem having a critical growth, and depending on a real parameter, is established.
Bonanno Gabriele +2 more
doaj +1 more source
Advances in Nonlinear Analysis, 2022 In this article, we consider the upper critical Choquard equation with a local perturbation −Δu=λu+(Iα∗∣u∣p)∣u∣p−2u+μ∣u∣q−2u,x∈RN,u∈H1(RN),∫RN∣u∣2=a,\left\{\begin{array}{l}-\Delta u=\lambda u+\left({I}_{\alpha }\ast | u\hspace{-0.25em}{| }^{p})| u\hspace{
Li Xinfu
doaj +1 more source
Semi-classical solutions of perturbed elliptic system with general superlinear nonlinearity
, 2014 This paper is concerned with the following perturbed elliptic system: −ε2△u+V(x)u=Wv(x,u,v), x∈RN, −ε2△v+V(x)v=Wu(x,u,v), x∈RN, u,v∈H1(RN), where V∈C(RN,R) and W∈C1(RN×R2,R).
F. Liao +3 more
semanticscholar +1 more source
Multiple solutions for a problem with resonance involving the p‐Laplacian
Abstract and Applied Analysis, Volume 3, Issue 1-2, Page 191-201, 1998., 1998 In this paper we will investigate the existence of multiple solutions for the problem where Δpu = div(|∇u|p−2∇u) is the p‐Laplacian operator, Ω⫅ℝN is a bounded domain with smooth boundary, h and g are bounded functions, N ≥ 1 and 1 < p < ∞. Using the Mountain Pass Theorem and the Ekeland Variational Principle, we will show the existence of at least ...
C. O. Alves +2 more
wiley +1 more source
A bifurcation result involving Sobolev trace embedding and the duality mapping of W1,p
Moroccan Journal of Pure and Applied Analysis, 2017 We consider the perturbed nonlinear boundary condition ...
El Khalil Abdelouahed
doaj +1 more source