Results 71 to 80 of about 1,686 (103)

Symmetries, Hopf fibrations and supercritical elliptic problems

, 2015
We consider the semilinear elliptic boundary value problem \[ -\Delta u=\left\vert u\right\vert ^{p-2}u\text{ in }\Omega,\text{\quad }u=0\text{ on }\partial\Omega, \] in a bounded smooth domain $\Omega$ of $\mathbb{R}^{N}$ for supercritical exponents $p>\
Clapp, Mónica, Pistoia, Angela
core   +1 more source

The existence and asymptotic behavior of large solutions to the k-Hessian equations with nonlinear gradient terms

Advances in Nonlinear Analysis
In this paper, we establish the first- and second-order asymptotic behaviors (expansions) of boundary blow-up solutions to the k-Hessian problem Sk(D2u)=b(x)f(u)C0+∇u2q/2 in Ω,u=+∞ on ∂Ω. ${S}_{k}\left({D}^{2}u\right)=b\left(x\right)f\left(u\right){\left(
Wan Haitao
doaj   +1 more source

Continuity results for parametric nonlinear singular Dirichlet problems

Advances in Nonlinear Analysis, 2019
In this paper we study from a qualitative point of view the nonlinear singular Dirichlet problem depending on a parameter λ > 0 that was considered in [32].
Bai Yunru, Motreanu Dumitru, Zeng Shengda   +2 more
doaj   +1 more source

Limiting profile of positive solutions to heterogeneous elliptic BVPs with nonlinear flux decaying to negative infinity on a portion of the boundary

Open Mathematics
This paper ascertains the limiting profile of the positive solutions of heterogeneous logistic elliptic boundary value problems under nonlinear mixed boundary conditions.
Cano-Casanova Santiago
doaj   +1 more source

The Neumann function and the L p Neumann problem in chord-arc domains

Advanced Nonlinear Studies
We construct the Neumann function in a 1-sided chord-arc domain (i.e., a uniform domain with an Ahlfors regular boundary), and establish size and Hölder continuity estimates up to the boundary.
Hofmann Steve, Sparrius Derek
doaj   +1 more source

Loop Type Subcontinua of Positive Solutions for Indefinite Concave-Convex Problems

Advanced Nonlinear Studies, 2019
We establish the existence of loop type subcontinua of nonnegative solutions for a class of concave-convex type elliptic equations with indefinite weights, under Dirichlet and Neumann boundary conditions.
Kaufmann Uriel, Ramos Quoirin Humberto, Umezu Kenichiro   +2 more
doaj   +1 more source

Global Dynamics of Generalized Logistic Equations

Advanced Nonlinear Studies, 2018
We consider a parameter dependent parabolic logistic population model with diffusion and degenerate logistic term allowing for refuges for the population.
Daners Daniel, López-Gómez Julián
doaj   +1 more source

Simulating accurate and effective solutions of some nonlinear nonlocal two-point BVPs: Clique and QLM-clique matrix methods. [PDF]

Heliyon, 2023
Izadi M, Singh J, Noeiaghdam S.
europepmc   +1 more source

On a nonlinear Robin problem with an absorption term on the boundary and L1 data

Advances in Nonlinear Analysis
We deal with existence and uniqueness of nonnegative solutions to: −Δu=f(x),inΩ,∂u∂ν+λ(x)u=g(x)uη,on∂Ω,\left\{\begin{array}{ll}-\Delta u=f\left(x),\hspace{1.0em}& \hspace{0.1em}\text{in}\hspace{0.1em}\hspace{0.33em}\Omega ,\\ \frac{\partial u}{\partial ...
Pietra Francesco Della, Oliva Francescantonio, León Sergio Segura de   +2 more
doaj   +1 more source

Convergence analysis for double phase obstacle problems with multivalued convection term

Advances in Nonlinear Analysis, 2020
In the present paper, we introduce a family of the approximating problems corresponding to an elliptic obstacle problem with a double phase phenomena and a multivalued reaction convection term.
Zeng Shengda, Bai Yunru, Gasiński Leszek, Winkert Patrick   +3 more
doaj   +1 more source