Uniqueness for elliptic problems with locally Lipschitz continuous dependence on the solution
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Publication:729927
DOI10.1016/j.jde.2016.10.029zbMath1364.35093OpenAlexW2553857383MaRDI QIDQ729927
Publication date: 22 December 2016
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jde.2016.10.029
nonlinear elliptic equationsrenormalized solutionuniqueness resultlocally Lipschitz continuous coefficients
Nonlinear elliptic equations (35J60) PDEs with low regular coefficients and/or low regular data (35R05) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)
Related Items (5)
Quasilinear elliptic systems in perturbed form ⋮ Existence of renormalized solution of nonlinear elliptic problems with lower order term in Orlicz spaces ⋮ On Lewy-Stampacchia inequalities for a pseudomonotone elliptic bilateral problem in variable exponent Sobolev spaces ⋮ Uniqueness for quasilinear elliptic problems in a two-component domain with \(L^1\) data ⋮ Uniqueness results for strongly monotone operators related to Gauss measure
Cites Work
- Quasi-linear degenerate elliptic problems with \(L^1\) data
- Uniqueness results for pseudomonotone problems with \(p>2\)
- Ordinary differential equations, transport theory and Sobolev spaces
- On the Cauchy problem for Boltzmann equations: Global existence and weak stability
- Nonlinear elliptic and parabolic equations involving measure data
- Uniqueness of solutions for some nonlinear Dirichlet problems
- Uniqueness for elliptic problems with Hölder-type dependence on the solution
- Uniqueness result for nonlinear anisotropic elliptic equations
- On some nonlinear elliptic equations involving derivatives of the nonlinearity
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