QUASILINEAR ELLIPTIC EQUATIONS WITH SINGULAR QUADRATIC GROWTH TERMS
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Publication:3094373
DOI10.1142/S0219199711004300zbMath1231.35079MaRDI QIDQ3094373
Francesco Petitta, Boccardo, Lucio, Tommaso Leonori, Luigi Orsina
Publication date: 24 October 2011
Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)
Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Quasilinear elliptic equations (35J62) Positive solutions to PDEs (35B09) Singular elliptic equations (35J75)
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Cites Work
- Some elliptic problems with singular natural growth lower order terms
- Existence and nonexistence of solutions for singular quadratic quasilinear equations
- Removable singularities for nonlinear elliptic equations
- Existence and nonexistence of solutions for some nonlinear elliptic equations
- Uniqueness and the maximum principle for quasilinear elliptic equations with quadratic growth conditions
- Elliptic equations with vertical asymptotes in the nonlinear term
- Le problème de Dirichlet pour les équations elliptiques du second ordre à coefficients discontinus
- Dirichlet problems with singular and gradient quadratic lower order terms
- Uniqueness of solutions for some elliptic equations with a quadratic gradient term
- Strongly nonlinear elliptic equations having natural growth terms and L1 data
- Almost everywhere convergence of the gradients of solutions to elliptic and parabolic equations
- $L^\infty $ Estimate for Some Nonlinear Elliptic Partial Differential Equations and Application to an Existence Result