[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 …
[HTML][HTML] Multiplicity and asymptotic behavior of positive solutions for a singular semilinear elliptic problem
Y Haitao - Journal of Differential Equations, 2003 - Elsevier
The following singular elliptic boundary value problem is studied:[Formula: see text] where
Ω⊂ RN (N⩾ 3) is a bounded domain with smooth boundary∂ Ω, 0< γ< 1 0 is a real …
Ω⊂ RN (N⩾ 3) is a bounded domain with smooth boundary∂ Ω, 0< γ< 1 0 is a real …
Some remarks on elliptic problems with critical growth in the gradient
B Abdellaoui, A Dall'Aglio, I Peral - Journal of Differential Equations, 2006 - Elsevier
Some remarks on elliptic problems with critical growth in the gradient Page 1 J. Differential
Equations 222 (2006) 21–62 www.elsevier.com/locate/jde Some remarks on elliptic problems …
Equations 222 (2006) 21–62 www.elsevier.com/locate/jde Some remarks on elliptic problems …
Some remarks on the solvability of non-local elliptic problems with the Hardy potential
The aim of this paper is to study the solvability of the following problem, where (-Δ) s, with
s∈(0, 1), is a fractional power of the positive operator-Δ, Ω⊂ ℝN, N> 2s, is a Lipschitz …
s∈(0, 1), is a fractional power of the positive operator-Δ, Ω⊂ ℝN, N> 2s, is a Lipschitz …
Positive solutions for singular nonlinear elliptic equations
J Hernandez, FJ Mancebo, JM Vega - Proceedings of the Royal …, 2007 - cambridge.org
This paper deals with singular semilinear elliptic equations in bounded domains with
Dirichlet boundary data. The elliptic operator is a second-order operator not necessarily in …
Dirichlet boundary data. The elliptic operator is a second-order operator not necessarily in …
[HTML][HTML] Study of a nonlinear Kirchhoff equation with non-homogeneous material
In this paper we study a non-homogeneous elliptic Kirchhoff equation with nonlinear
reaction term. We analyze the existence and uniqueness of positive solution. The main …
reaction term. We analyze the existence and uniqueness of positive solution. The main …
Singular elliptic and parabolic equations
J Hernández, FJ Mancebo - Handbook of differential equations: stationary …, 2006 - Elsevier
Publisher Summary Reaction-diffusion equations have played an important role in the study
of many different phenomena related with applications. These applications include, among …
of many different phenomena related with applications. These applications include, among …
A study on a class of weighted elliptic problems with indefinite nonlinearities
In this work, we will study the existence of solutions for a class of problems involving the p-
Laplacian operator with weight and a nonlinearity that changes sign in a domain Ω⊂ RN …
Laplacian operator with weight and a nonlinearity that changes sign in a domain Ω⊂ RN …