An Elliptic Equation Involving Exponential Critical Growth in R-2

作者：Albuquerque Francisco S B^*; Medeiros Everaldo S

来源：Advanced Nonlinear Studies, 2015, 15(1): 23-37.

• Nonhomogeneous Schrodinger equations
• Unbounded or decaying radial potentials
• Exponential critical growth
• Trudinger-Moser inequality

We study the following class of nonhomogeneous Schrodinger equations
-Lambda u + V(\x\)u = Q(\x\) f(u) + h(x) in R-2,
where V and Q are unbounded or decaying radial potentials, the nonlinearity f(s) has exponential critical growth and the nonhomogeneous term h belongs to the dual of an appropriate functional space. By combining minimax methods and a version of the Trudinger-Moser inequality, we establish the existence and multiplicity of weak solutions for this class of equations.

• 出版日期2015-2