4 papers · 1 filter
A note on critical problems involving the -Grushin Operator: existence of infinitely many solutions
Paolo Malanchini, Giovanni Molica Bisci, Simone Secchi
We consider a critical problem in a bounded domain involving the -Grushin operator . After a truncation argument, we obtain infinitely many solutions to our problem via K…
Regularizing effect of the interplay between coefficients in linear and semilinear -elliptic equations
Paolo Malanchini, Giovanni Molica Bisci, Simone Secchi
We study the regularizing effect arising from the interaction between the coefficient \(a\) of the zero order term and the datum \(f\) in the problem $$ \left\lbrace \begin{array}{…
Existence and decay for a Grushin problem in with singular, convective, critical reaction
Laura Baldelli, Paolo Malanchini, Simone Secchi
We establish an existence result for a problem set in the whole Euclidean space involving the Grushin operator and featuring a critical term perturbed by a singular, convective rea…
Bifurcation and multiplicity results for critical problems involving the -Grushin operator
Paolo Malanchini, Giovanni Molica Bisci, Simone Secchi
In this article we prove a bifurcation and multiplicity result for a critical problem involving a degenerate nonlinear operator . We extend to a generic a result which…