Solvability of quasilinear elliptic equations with strong dependence on the gradient.
Nonexistence of solutions for quasilinear elliptic equations with -growth in the gradient.
A class of nonlinear elliptic variational inequalities: Qualitative properties and existence of solutions.
On the optimal control of nonresonant elliptic equations
Generating singularities of solutions of quasilinear elliptic equations using Wolff’s potential
We consider a quasilinear elliptic problem whose left-hand side is a Leray-Lions operator of -Laplacian type. If and the right-hand side is a Radon measure with singularity of order at , then any supersolution in has singularity of order at least at . In the proof we exploit a pointwise estimate of -superharmonic solutions, due to Kilpeläinen and Malý, which involves Wolff’s potential of Radon’s measure.
Fractal analysis of Hopf bifurcation for a class of completely integrable nonlinear Schrödinger Cauchy problems.
On the unique solvability of nonresonant elliptic equations
Page 1