The existence of two nontrivial solutions for a class of fully nonlinear problems at critical growth with perturbations of lower order is proved. The first solution is obtained via a local minimization argument while the second solution follows by a non-smooth mountain pass theorem.
Squassina, M., Two solutions for inhomogeneous fully nonlinear elliptic equations at critical growth, <<NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS>>, 2004; 11 (N/A): 53-71 [http://hdl.handle.net/10807/92796]
Two solutions for inhomogeneous fully nonlinear elliptic equations at critical growth
Squassina, MarcoPrimo
2004
Abstract
The existence of two nontrivial solutions for a class of fully nonlinear problems at critical growth with perturbations of lower order is proved. The first solution is obtained via a local minimization argument while the second solution follows by a non-smooth mountain pass theorem.
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