TY  - JOUR
ID  - Klimczak2015
LB  - Klimczak2015
AU  - Klimczak, Liliana
TI  - Existence and multiplicity of solutions for a nonhomogeneous Neumann boundary problem
ST  - Existence and multiplicity of solutions for a nonhomogeneous Neumann boundary problem
JO  - Opuscula Math.
JA  - Opuscula Math.
JF  - Opuscula Mathematica
PY  - 2015
VL  - 35
IS  - 6
SP  - 889
EP  - 905
DO  - http://dx.doi.org/10.7494/OpMath.2015.35.6.889
UR  - http://dx.doi.org/10.7494/OpMath.2015.35.6.889
AB  - We consider a nonlinear Neumann elliptic equation driven by a \(p\)-Laplacian-type operator which is not homogeneous in general. For such an equation the energy functional does not need to be coercive, and we use suitable variational methods to show that the problem has at least two distinct, nontrivial smooth solutions. Our formulation incorporates strongly resonant equations.
KW  - Palais-Smale condition
KW  - noncoercive functional
KW  - second deformation theorem
SN  - 1232-9274
ER  -