A contribution to the theory of quasilinear elliptic equations and application to the minimization of integral functionals

DOI10.1007/s00032-011-0150-yzbMath1226.35040OpenAlexW2048304934MaRDI QIDQ640713

Boccardo, Lucio

Publication date: 19 October 2011

Published in: Milan Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00032-011-0150-y

zbMATH Keywords

quasilinear elliptic equationsquadratic growthminimization of integral functionals

Mathematics Subject Classification ID

Fréchet and Gateaux differentiability in optimization (49J50) Methods involving semicontinuity and convergence; relaxation (49J45) Quasilinear elliptic equations (35J62) Singular elliptic equations (35J75)

Related Items (13)

T-minima and application to the convergence of some integral functionals with infinite energy minima ⋮ Existence of solutions of a non-linear eigenvalue problem with a variable weight ⋮ On nonlinear parabolic equations with singular lower order term ⋮ A quasilinear Dirichlet problem with quadratic growth respect to the gradient and \(L^1\) data ⋮ Strong maximum principle for some quasilinear Dirichlet problems having natural growth terms ⋮ Existence and regularity results for some elliptic equations with degenerate coercivity and singular quadratic lower-order terms ⋮ \({W^{1,1}_0}\)-solutions for elliptic problems having gradient quadratic lower order terms ⋮ On nonlinear elliptic equations with singular lower order term ⋮ Existence and regularity results for nonlinear parabolic equations with quadratic growth with respect to the gradient ⋮ On some regularity results of parabolic problems with nonlinear perturbed terms and general data ⋮ Existence and regularity of solutions for unbounded elliptic equations with singular nonlinearities ⋮ Unnamed Item ⋮ A class of quasilinear Dirichlet problems with unbounded coefficients and singular quadratic lower order terms

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Minimization problems with singular data
• On a nonlinear partial differential equation having natural growth terms and unbounded solution
• Existence of bounded solutions for non linear elliptic unilateral problems
• Existence and nonexistence of solutions for some nonlinear elliptic equations
• Bounded and unbounded solutions for a class of quasi-linear elliptic problems with a quadratic gradient term.
• \(T\)-minima: an approach to minimization problems in \(L^1\)
• Le problème de Dirichlet pour les équations elliptiques du second ordre à coefficients discontinus
• Convexity of certain integrals of the calculus of variations
• 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
• Positive solutions for some quasilinear elliptic equations with natural growths

This page was built for publication: A contribution to the theory of quasilinear elliptic equations and application to the minimization of integral functionals