The Fatou lemma approach to the existence in quasilinear elliptic equations with natural growth terms

DOI10.1080/17476930903276241zbMath1194.35178OpenAlexW1986026269WikidataQ124829956 ScholiaQ124829956MaRDI QIDQ3562358

Boccardo, Lucio

Publication date: 21 May 2010

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17476930903276241

zbMATH Keywords

Dirichlet problemelliptic equationnatural growth

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Variational methods for second-order elliptic equations (35J20) Quasilinear elliptic equations (35J62)

Related Items (3)

Existence of solutions for gradient coupled Dirichlet systems ⋮ \({W^{1,1}_0}\)-solutions for elliptic problems having gradient quadratic lower order terms ⋮ Nonlinear weighted elliptic equations with Sobolev weights

Cites Work

• Unnamed Item
• Nonlinear elliptic equations with natural growth in general domains
• Nonlinear elliptic equations having a gradient term with natural growth
• On some non-linear elliptic differential functional equations
• Dirichlet problems with singular and gradient quadratic lower order terms
• 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

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