[图书][B] Variational methods for nonlocal fractional problems
This book provides researchers and graduate students with a thorough introduction to the
variational analysis of nonlinear problems described by nonlocal operators. The authors …
variational analysis of nonlinear problems described by nonlocal operators. The authors …
A concave—convex elliptic problem involving the fractional Laplacian
We study a nonlinear elliptic problem defined in a bounded domain involving fractional
powers of the Laplacian operator together with a concave—convex term. We completely …
powers of the Laplacian operator together with a concave—convex term. We completely …
[HTML][HTML] A critical fractional equation with concave–convex power nonlinearities
In this work we study the following fractional critical problem (P λ)={(− Δ) su= λ u q+ u 2 s⁎−
1, u> 0 in Ω, u= 0 in R n∖ Ω, where Ω⊂ R n is a regular bounded domain, λ> 0, 0< s< 1 and …
1, u> 0 in Ω, u= 0 in R n∖ Ω, where Ω⊂ R n is a regular bounded domain, λ> 0, 0< s< 1 and …
[图书][B] Elliptic and parabolic equations involving the Hardy-Leray potential
IP Alonso, FS de Diego - 2021 - books.google.com
The scientific literature on the Hardy-Leray inequality, also known as the uncertainty
principle, is very extensive and scattered. The Hardy-Leray potential shows an extreme …
principle, is very extensive and scattered. The Hardy-Leray potential shows an extreme …
Existence and non-existence of solutions to elliptic equations related to the Caffarelli–Kohn–Nirenberg inequalities
We investigate elliptic equations related to the Caffarelli–Kohn–Nirenberg inequalities:-div (|
x|^ α| ∇ u|^ p-2 ∇ u)=| x|^ β u^ p (α, β)-1, u (x)> 0,\, x ∈ Ω ⊂ R^ N (N ≧ 3), 1< p< N and α, β …
x|^ α| ∇ u|^ p-2 ∇ u)=| x|^ β u^ p (α, β)-1, u (x)> 0,\, x ∈ Ω ⊂ R^ N (N ≧ 3), 1< p< N and α, β …
The critical hyperbola for a Hamiltonian elliptic system with weights
DG de Figueiredo, DG de Figueiredo, I Peral… - Djairo G. de Figueiredo …, 2013 - Springer
In this paper we look for existence results for nontrivial solutions to the system,\left {. with
Dirichlet boundary conditions, u= v= 0 on∂ Ω and α, β< N. We find the existence of a critical …
Dirichlet boundary conditions, u= v= 0 on∂ Ω and α, β< N. We find the existence of a critical …
Nonlocal critical exponent singular problems under mixed Dirichlet-Neumann boundary conditions
In this paper, we study the following singular problem, under mixed Dirichlet-Neumann
boundary conditions, and involving the fractional Laplacian (P λ){(− Δ) su= λ u− q+ u 2 s⁎ …
boundary conditions, and involving the fractional Laplacian (P λ){(− Δ) su= λ u− q+ u 2 s⁎ …
[HTML][HTML] The Brezis–Nirenberg problem for the fractional Laplacian with mixed Dirichlet–Neumann boundary conditions
E Colorado, A Ortega - Journal of Mathematical Analysis and Applications, 2019 - Elsevier
In this work we study the existence of solutions to the critical Brezis–Nirenberg problem
when one deals with the spectral fractional Laplace operator and mixed Dirichlet–Neumann …
when one deals with the spectral fractional Laplace operator and mixed Dirichlet–Neumann …
Nonlinear elliptic problems with a singular weight on the boundary
We study existence of solutions to-Δ u= u^ p| x|^ 2\quad u\,>\, 0\rm in\, Ω with u= 0 on∂ Ω,
where Ω is a smooth bounded domain in R^ N, N≥ 3 with 0\, ∈\, ∂ Ω and 1< p< N+ 2 N-2 …
where Ω is a smooth bounded domain in R^ N, N≥ 3 with 0\, ∈\, ∂ Ω and 1< p< N+ 2 N-2 …
[HTML][HTML] Principal eigenvalue of mixed problem for the fractional Laplacian: moving the boundary conditions
We analyze the behavior of the eigenvalues of the following nonlocal mixed problem {(− Δ)
su= λ 1 (D) u in Ω, u= 0 in D, N su= 0 in N. Our goal is to construct different sequences of …
su= λ 1 (D) u in Ω, u= 0 in D, N su= 0 in N. Our goal is to construct different sequences of …