Results 91 to 100 of about 1,664 (104)

Doubly Critical Problems Involving Fractional Laplacians in ℝN

open access: yesAdvanced Nonlinear Studies, 2017
In this paper, we show the existence of nontrivial solutions for doubly critical nonlocal elliptic problems in ℝN{\mathbb{R}^{N}} involving fractional Laplacians.
Yang Jianfu, Wu Fengjie
doaj   +1 more source

Intervals of bifurcation points for semilinear elliptic problems

open access: yesAdvances 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   +2 more
doaj   +1 more source

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

open access: yesAdvanced 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.   +3 more
doaj   +1 more source

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

open access: yesAdvanced 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   +2 more
doaj   +1 more source

Global Dynamics of Generalized Logistic Equations

open access: yesAdvanced 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

Bubbles clustered inside for almost-critical problems

open access: yesOpen 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

open access: yesDemonstratio 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   +3 more
doaj   +1 more source

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