EUDML

The search session has expired. Please query the service again.

Currently displaying 1 – 7 of 7

Order by Relevance | Title | Year of publication

On the optimal control of nonresonant elliptic equations

Darko Žubrinić — 1986

Commentationes Mathematicae Universitatis Carolinae

Generating singularities of solutions of quasilinear elliptic equations using Wolff’s potential

Darko Žubrinić — 2003

Czechoslovak Mathematical Journal

We consider a quasilinear elliptic problem whose left-hand side is a Leray-Lions operator of $p$ -Laplacian type. If $p < γ < N$ and the right-hand side is a Radon measure with singularity of order $γ$ at $x_{0} \in Ω$ , then any supersolution in $W_{l o c}^{1, p} (Ω)$ has singularity of order at least $\frac{(γ - p)}{(p - 1)}$ at $x_{0}$ . In the proof we exploit a pointwise estimate of $𝒜$ -superharmonic solutions, due to Kilpeläinen and Malý, which involves Wolff’s potential of Radon’s measure.

Page 1

Download Results (CSV)

Advanced Search

Formula preview

Currently displaying 1 – 7 of 7

On the optimal control of nonresonant elliptic equations

Generating singularities of solutions of quasilinear elliptic equations using Wolff’s potential

On the unique solvability of nonresonant elliptic equations

Solvability of quasilinear elliptic equations with strong dependence on the gradient.

Nonexistence of solutions for quasilinear elliptic equations with $p$ -growth in the gradient.

A class of nonlinear elliptic variational inequalities: Qualitative properties and existence of solutions.

Fractal analysis of Hopf bifurcation for a class of completely integrable nonlinear Schrödinger Cauchy problems.

Advanced Search

Formula preview

Currently displaying 1 – 7 of 7

On the optimal control of nonresonant elliptic equations

Generating singularities of solutions of quasilinear elliptic equations using Wolff’s potential

On the unique solvability of nonresonant elliptic equations

Solvability of quasilinear elliptic equations with strong dependence on the gradient.

Nonexistence of solutions for quasilinear elliptic equations with p -growth in the gradient.

A class of nonlinear elliptic variational inequalities: Qualitative properties and existence of solutions.

Fractal analysis of Hopf bifurcation for a class of completely integrable nonlinear Schrödinger Cauchy problems.

Nonexistence of solutions for quasilinear elliptic equations with $p$ -growth in the gradient.