Summability of solutions of second-order nonlinear elliptic equations with data in classes close to \(L^1\)

Boundary value problems for second-order elliptic equations (35J25) A priori estimates in context of PDEs (35B45) Quasilinear elliptic equations (35J62)

Cites Work

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Some elliptic equations with \(W_0^{1,1}\) solutions
\(W^{1,1}_0\) solutions in some borderline cases of Calderón-Zygmund theory
Integrability of solutions of nonlinear elliptic equations with right-hand sides from logarithmic classes
Nonlinear elliptic and parabolic equations involving measure data
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Summability of solutions of the Dirichlet problem for nonlinear elliptic equations with right-hand side in logarithmic classes close to \(L^1\)
Integrability properties of functions with a given behavior of distribution functions and some applications
Summability of solutions of the Dirichlet problem for nonlinear elliptic equations with right-hand side in classes close to \(L^1\)
On the limiting regularity result of some nonlinear elliptic equations
Nonlinear elliptic equations having a gradient term with natural growth
General conditions for limit summability of solutions of nonlinear elliptic equations with \(L^1\)-data
Existence and uniqueness for \(L^1\) data of some elliptic equations with natural growth
Existence results for nonlinear elliptic equations with degenerate coercivity
Singular Solutions of Nonlinear Elliptic and Parabolic Equations
Nonlinear Elliptic Equations with Right Hand Side Measures

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