9 papers
Optimal data-driven solutions for a stationary diffusive model of population growth
Laura Baldelli, Paolo Malanchini, Wolfgang Reichel
We study optimal data-driven solutions for the stationary diffusive population growth model in a bounded domain with Neumann boundary conditions.…
Existence and regularity for an entire Grushin-Choquard equation
Federico Bernini, Paolo Malanchini
We consider the following Choquard equation where is the Grushin operator. For a suit…
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 $$ \left\lbrace \begin{array}{…
Regularizing effect of the natural growth term in quasilinear problems with sign-changing nonlinearities
José Carmona Tapia, Paolo Malanchini, Antonio J. Martínez Aparicio +1
We investigate the existence and nonexistence of solutions to the Dirichlet problem \begin{equation*} \tag{} \label{pba} \left\{ \begin{alignedat}{2} -Δ_p u + g(u) |\nabla u|^p…
Existence and decay for a Grushin problem in with singular, convective, critical reaction
Laura Baldelli, Paolo Malanchini, Simone Secchi
We establish an existence result for a problem set in the whole Euclidean space involving the Grushin operator and featuring a critical term perturbed by a singular, convective rea…
Bifurcation and multiplicity results for critical problems involving the -Grushin operator
Paolo Malanchini, Giovanni Molica Bisci, Simone Secchi
In this article we prove a bifurcation and multiplicity result for a critical problem involving a degenerate nonlinear operator . We extend to a generic a result which…
Mountain Pass Solutions for an entire semipositone problem involving the Grushin Subelliptic Operator
Giovanni Molica Bisci, Paolo Malanchini, Simone Secchi
For we study the following semipositone problem where is the Grushin operator $$ Δ_ γu(z) = Δ_x u(z) + \ver…
A note on nonlinear critical problems involving the Grushin Subelliptic Operator: bifurcation and multiplicity results
Giovanni Molica Bisci, Paolo Malanchini, Simone Secchi
We consider the boundary value problem $$ \cases{ -Δ_γu = λu + \left\vert u \right\vert^{2^*_γ-2}u &in $Ω$\cr u = 0 &on $\partialΩ$,\cr } $$ where is an open bounded domain in…