Results 61 to 70 of about 367 (79)

Liouville's type results for singular anisotropic operators

Analysis and Geometry in Metric Spaces
We present two Liouville-type results for solutions to anisotropic elliptic equations that have a growth of power 2 along the first ss coordinate directions and of power pp, with ...
Maria Cassanello Filippo, Bashayer Majrashi, Vincenzo Vespri   +2 more
doaj   +1 more source

On the moving plane method for boundary blow-up solutions to semilinear elliptic equations

Advances in Nonlinear Analysis, 2018
We consider weak solutions to -Δ⁢u=f⁢(u){-\Delta u=f(u)} on Ω1∖Ω0{\Omega_{1}\setminus\Omega_{0}}, with u=c≥0{u=c\geq 0} in ∂⁡Ω1{\partial\Omega_{1}} and u=+∞{u=+\infty} on ∂⁡Ω0{\partial\Omega_{0}}, and we prove monotonicity properties of the solutions via
Canino Annamaria, Sciunzi Berardino, Trombetta Alessandro   +2 more
doaj   +1 more source

On Lane–Emden Systems with Singular Nonlinearities and Applications to MEMS

Advanced Nonlinear Studies, 2018
In this paper we analyze the Lane–Emden ...
do Ó João Marcos, Clemente Rodrigo
doaj   +1 more source

On singular double phase problem with variable exponents and convolution term

Open Mathematics
In this article, we consider the following singular double phase problem with variable exponents and convolution term of the form: −Tp(x),q(x)α(x)(u)=λs(x)u−γ(x)+∫Ω|u(x)|h(x)|x−y|μ(x,y)|u(y)|h(x)−2u(y)inΩ,u=0on∂Ω, $$\begin{cases}-{\mathcal{T}}_{p\left(x ...
He Rui, Liang Sihua
doaj   +1 more source

Ireneo Peral: Forty Years as Mentor

Advanced Nonlinear Studies, 2017
In this article we present a survey of the Ph.D. theses that have been completed under the advice of Ireneo Peral.Following a chronological order, we summarize the main results contained in the works of the former students of Ireneo Peral.
Abdellaoui Boumediene, Aguilar Juan Antonio, Barrios Begoña, Colorado Eduardo, Charro Fernando, García Azorero Jesús, Medina Maria, Merchán Susana, Montoro Luigi, Primo Ana   +9 more
doaj   +1 more source

Existence, boundary behavior and asymptotic behavior of solutions to singular elliptic boundary-value problems

Electronic Journal of Differential Equations, 2016
In this article, we consider the singular elliptic boundary-value problem $$ -\Delta u+f(u)-u^{-\gamma} =\lambda u \text{ in } \Omega,\quad u>0\text{ in } \Omega,\quad u=0 \text{ on } \partial\Omega. $$ Using the upper-lower solution method, we show the
Ge Gao, Baoqiang Yan
doaj  

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Liouville type theorems and regularity of solutions to degenerate or singular problems part I: even solutions

Communications in Partial Differential Equations, 2021
Susanna Terracini, Stefano Vita
exaly  

Infinitely many small solutions to an elliptic PDE of variable exponent with a singular nonlinearity

Complex Variables and Elliptic Equations, 2021
Sekhar Ghosh, Debajyoti Choudhuri, Ratan Kr Giri   +2 more
exaly  

Nonlinear singular problems with indefinite potential and a superlinear perturbation

Complex Variables and Elliptic Equations, 2021
Nikolaos S Papageorgiou, Chao Zhang
exaly  

Degenerate elliptic problem with a singular nonlinearity

Complex Variables and Elliptic Equations, 2023
ABDELAAZIZ SBAI, Youssef El Hadfi
exaly