Weighted Robin eigenvalue problems and nonlinear elliptic equations with general growth in the gradient

Francesco Della Pietra, Giuseppina di Blasio, Giuseppe Riey

We prove an existence result for Robin boundary value problems modeled on \[ \begin{cases} Δu + |\nabla u|^2 + λf(x) = 0 & \text{in } Ω \\ \frac{\partial u}{\partial ν} + βu = 0 &…