Results 91 to 100 of about 1,677 (103)

The Regularizing Effect of Lower Order Terms in Elliptic Problems Involving Hardy Potential

Advanced Nonlinear Studies, 2017
We study existence and summability of solutions for elliptic problems with a power-like lower order term and a Hardy potential.We prove that, due to the presence of the lower order term, solutions exist and are more summable under weaker assumptions than
Adimurthi A., Boccardo Lucio, Cirmi G. Rita, Orsina Luigi   +3 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

Robust Multiscale Identification of Apparent Elastic Properties at Mesoscale for Random Heterogeneous Materials with Multiscale Field Measurements. [PDF]

Materials (Basel), 2020
Zhang T, Pled F, Desceliers C.
europepmc   +1 more source

Efficient representations of Green’s functions for some elliptic equations with piecewise-constant coefficients

Open Mathematics, 2010
Melnikov Yuri
doaj   +1 more source

Intervals of bifurcation points for semilinear elliptic problems

Advances in Nonlinear Analysis
In this article, we study the behavior of multiple continua of solutions to the semilinear elliptic problem −Δu=λf(u),inΩ,u=0,on∂Ω,\left\{\begin{array}{ll}-\Delta u=\lambda f\left(u),\hspace{1.0em}& \hspace{0.1em}\text{in}\hspace{0.1em}\hspace{0.33em ...
Tapia José Carmona, Aparicio Antonio J. Martínez, Martínez-Aparicio Pedro J.   +2 more
doaj   +1 more source

The modified quasi-boundary-value method for an ill-posed generalized elliptic problem

Advances in Nonlinear Analysis
In this study, we are interested in the regularization of an ill-posed problem generated by a generalized elliptic equation in an abstract framework. The regularization strategy is based on the modified quasi-boundary-valued method, which allows us to ...
Selmani Wissame, Boussetila Nadjib, Kirane Mokhtar, Alsulami Hamed   +3 more
doaj   +1 more source

Bubbles clustered inside for almost-critical problems

Open Mathematics
We investigate the existence of blowing-up solutions of the following almost-critical problem: −Δu+V(x)u=up−ε,u>0inΩ,u=0on∂Ω,-\Delta u+V\left(x)u={u}^{p-\varepsilon },\hspace{1.0em}u\gt 0\hspace{0.25em}\hspace{0.1em}\text{in}\hspace{0.1em}\hspace{0.33em}\
Ayed Mohamed Ben, El Mehdi Khalil
doaj   +1 more source

A generalized p-Laplacian problem with parameters

Demonstratio Mathematica
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, Heidarkhani Shapour, Moradi Shahin, Sousa José Vanterler da Costa   +3 more
doaj   +1 more source

C ∞ regularity in semilinear free boundary problems. [PDF]

Math Ann
Restrepo D, Ros-Oton X.
europepmc   +1 more source

Global well-posedness and interior regularity of 2D Navier-Stokes equations with stochastic boundary conditions. [PDF]

Math Ann
Agresti A, Luongo E.
europepmc   +1 more source