Existence of solutions for a class of -Laplacian equations involving a concave-convex nonlinearity with critical growth in
CO Alves, MC Ferreira - 2015 - projecteuclid.org
EXISTENCE OF SOLUTIONS FOR A CLASS OF p(x)-LAPLACIAN EQUATIONS INVOLVING A
CONCAVE-CONVEX NONLINEARITY WITH CRITICAL GROWTH IN R Page 1 Topological …
CONCAVE-CONVEX NONLINEARITY WITH CRITICAL GROWTH IN R Page 1 Topological …
A Hardy–Littlewood–Sobolev-type inequality for variable exponents and applications to quasilinear Choquard equations involving variable exponent
CO Alves, LS Tavares - Mediterranean Journal of Mathematics, 2019 - Springer
In this work, we have proved a Hardy–Littlewood–Sobolev inequality for variable exponents.
After that, we use this inequality together with the variational method to establish the …
After that, we use this inequality together with the variational method to establish the …
An elliptic system with logarithmic nonlinearity
In the present paper, we study the existence of solutions for some classes of singular
systems involving the Δ p(x) and Δ q(x) Laplacian operators. The approach is based on …
systems involving the Δ p(x) and Δ q(x) Laplacian operators. The approach is based on …
Existence and regularity of solutions for a class of singular (p(x), q(x))-Laplacian systems
CO Alves, A Moussaoui - Complex Variables and Elliptic Equations, 2018 - Taylor & Francis
Full article: Existence and regularity of solutions for a class of singular (p(x), q(x))-Laplacian
systems Skip to Main Content Taylor and Francis Online homepage Taylor and Francis …
systems Skip to Main Content Taylor and Francis Online homepage Taylor and Francis …
On the Sobolev trace theorem for variable exponent spaces in the critical range
In this paper, we study the Sobolev trace Theorem for variable exponent spaces with critical
exponents. We find conditions on the best constant in order to guaranty the existence of …
exponents. We find conditions on the best constant in order to guaranty the existence of …
Nonhomogeneous Dirichlet problems without the Ambrosetti-Rabinowitz condition
We consider the existence of solutions of the following p(x)-Laplacian Dirichlet problem
without the Ambrosetti-Rabinowitz condition:-\rm div (| ∇ u|^ p (x)-2 ∇ u)= f (x, u) & in Ω,\u …
without the Ambrosetti-Rabinowitz condition:-\rm div (| ∇ u|^ p (x)-2 ∇ u)= f (x, u) & in Ω,\u …
Multi-bump solutions for a class of quasilinear problems involving variable exponents
CO Alves, MC Ferreira - Annali di Matematica Pura ed Applicata (1923-), 2015 - Springer
We establish the existence of multi-bump solutions for the following class of quasilinear
problems-Δ _ p (x) u+\big (λ V (x)+ Z (x)\big) u^ p (x)-1= f (x, u) in\mathbb R^ N,\, u ≥ 0 …
problems-Δ _ p (x) u+\big (λ V (x)+ Z (x)\big) u^ p (x)-1= f (x, u) in\mathbb R^ N,\, u ≥ 0 …
A compact embedding result for anisotropic Sobolev spaces associated to a strip-like domain and some applications
Let m≥ 1 and d≥ 2 be integers and consider a strip-like domain O× R d, where O⊂ R m is
a bounded Euclidean domain with smooth boundary. Furthermore, let p: O¯× R d→ R be a …
a bounded Euclidean domain with smooth boundary. Furthermore, let p: O¯× R d→ R be a …
Existence of solution to a critical equation with variable exponent
In this paper we study the existence problem for the $ p (x)-$ Laplacian operator with a
nonlinear critical source. We find a local condition on the exponents ensuring the existence …
nonlinear critical source. We find a local condition on the exponents ensuring the existence …
Local existence conditions for an equations involving the p (x) p (x)-Laplacian with critical exponent in R^ N RN
N Saintier, A Silva - Nonlinear Differential Equations and Applications …, 2017 - Springer
The purpose of this paper is to formulate sufficient existence conditions for a critical equation
involving the p (x)-Laplacian of the form (0.1) below posed in R^ N RN. This equation is …
involving the p (x)-Laplacian of the form (0.1) below posed in R^ N RN. This equation is …