Multiple positive solutions for semilinear Dirichlet problems with sign-changing weight function in infinite strip domains

Multiplicity of solutions of some quasilinear equations in ${\mathbb{R}^{N}}$ with variable exponents and concave-convex nonlinearities

“…The proof of the next result follows the same steps found in [30] and [34], and so, it will be omitted.…”

Existence of Solutions for Elliptic Equation with Critical Sobolev Exponent

“…the authors proved that problem (2) has at least two positive solutions. For other references, we refer the authors to [2][3][4][5][6][7][8][9][10]. Our main results are listed below: Theorem 1.…”

Solutions for a Class of Singular Elliptic Equation

“…For other references, we refer the readers to [3][4][5][6][7][8][9]. In fact, motivated by [1,2,7,8], we consider problem (1) and by the variational method, we give the sufficient condition under which problem (1) has at least one solution.…”