Angelo R. F. de Holanda
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View article: Existence of the solution for a class of the semilinear degenerate elliptic equation involving the Grushin operator in R2$\mathbb {R}^2$: The interaction between Grushin's critical exponent and exponential growth
Existence of the solution for a class of the semilinear degenerate elliptic equation involving the Grushin operator in R2$\mathbb {R}^2$: The interaction between Grushin's critical exponent and exponential growth Open
In this work, we study the existence of the solution for a class of semilinear degenerate elliptic equations in the whole space involving the Grushin operator and a nonlinearity that involves the Grushin's critical growth and the exponenti…
View article: A Berestycki-Lions type result for a class of degenerate elliptic problems involving the Grushin Operator
A Berestycki-Lions type result for a class of degenerate elliptic problems involving the Grushin Operator Open
In this work we study the existence of nontrivial solution for the following class of semilinear degenerate elliptic equations $$ -Δ_γ u + a(z)u = f(u) ~~ \mbox{in} ~~ \mathbb{R}^{N}, $$ where $Δ_γ$ is known as the {\it Grushin operator}, …
View article: Existence of positive solutions for a class of semipositone quasilinear problems through Orlicz-Sobolev space
Existence of positive solutions for a class of semipositone quasilinear problems through Orlicz-Sobolev space Open
In this paper we show the existence of weak solutions for a class of semipositone problems of the type \begin{equation}\tag {P} \left \{ \begin {array}{rclcl} -\Delta _{\Phi } u & = & f(u)-a & \mbox {in} & \Omega , \\ u(x)& > & 0 & \mbox {…