Regularity and comparison principles for p-Laplace equations with vanishing source term
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Publication:2937033
DOI10.1142/S0219199714500138zbMath1323.35050MaRDI QIDQ2937033
Publication date: 7 January 2015
Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)
Smoothness and regularity of solutions to PDEs (35B65) Weak solutions to PDEs (35D30) Quasilinear elliptic equations with (p)-Laplacian (35J92) Comparison principles in context of PDEs (35B51)
Related Items (25)
Comparison principles for \(p\)-Laplace equations with lower order terms ⋮ Existence and uniqueness for \(p\)-Laplace equations involving singular nonlinearities ⋮ On the Gibbons' conjecture for equations involving the \(p\)-Laplacian ⋮ Monotonicity of positive solutions to quasilinear elliptic equations in half-spaces with a changing-sign nonlinearity ⋮ A note on the boundary regularity of solutions to quasilinear elliptic equations ⋮ Second order regularity for degenerate nonlinear elliptic equations ⋮ Improvements on overdetermined problems associated to the \(p \)-Laplacian ⋮ Regularity and symmetry results for nonlinear degenerate elliptic equations ⋮ Hopf lemma and regularity results for quasilinear anisotropic elliptic equations ⋮ On the optimization of the first weighted eigenvalue ⋮ Radial symmetry and applications for a problem involving the \(-\Delta_p(\cdot)\) operator and critical nonlinearity in \(\mathbb{R}^N\) ⋮ Domain variations of the first eigenvalue via a strict Faber-Krahn type inequality ⋮ A second-order Sobolev regularity for \(p(x)\)-Laplace equations ⋮ Besov regularity of solutions to the \(p\)-Poisson equation ⋮ Strict monotonicity of the first \(q\)-eigenvalue of the fractional \(p\)-Laplace operator over annuli ⋮ A classification result for the quasi-linear Liouville equation ⋮ Fractional differentiability for solutions of the inhomogeneous 𝑝-Laplace system ⋮ Remarks on regularity for \(p\)-Laplacian type equations in non-divergence form ⋮ Harnack inequalities and qualitative properties for some quasilinear elliptic equations ⋮ On qualitative properties of solutions for elliptic problems with thep-Laplacian through domain perturbations ⋮ A Variational Method for Second Order Shape Derivatives ⋮ A Regularity Result for the p-Laplacian Near Uniform Ellipticity ⋮ Optimal shapes for the first Dirichlet eigenvalue of the \(p\)-Laplacian and dihedral symmetry ⋮ Singular quasilinear convective elliptic systems in \(\mathbb{R}^N\) ⋮ Radial symmetry for a quasilinear elliptic equation with a critical Sobolev growth and Hardy potential
Cites Work
- Universal potential estimates
- Interior a priori estimates for solutions of fully nonlinear equations
- Regularity, monotonicity and symmetry of positive solutions of \(m\)-Laplace equations
- Harnack inequalities, maximum and comparison principles, and regularity of positive solutions of \(m\)-Laplace equations
- Gradient estimates below the duality exponent
- The maximum principle
- On singular sets of local solutions to \(p\) -Laplace equations
- Regularity of minima: an invitation to the dark side of the calculus of variations.
- Degenerate elliptic equations with singular nonlinearities
- Regularity for a more general class of quasilinear equations
- Comparison theorems for some quasilinear degenerate elliptic operators and applications to symmetry and monotonicity results
- Elliptic partial differential equations of second order
- Regularity of \(p\)-harmonic functions on the plane
- Sharp regularity for general Poisson equations with borderline sources
- A strong maximum principle for some quasilinear elliptic equations
- Some results on the qualitative properties of positive solutions of quasilinear elliptic equations
- Linear and quasilinear elliptic equations
- Uniqueness of ground states for quasilinear elliptic equations
- Gradient estimates via non-linear potentials
- Continuity of Solutions of Parabolic and Elliptic Equations
- C1 + α local regularity of weak solutions of degenerate elliptic equations
- Regularity of weak solutions of homogeneous or inhomogeneous quasilinear elliptic equations
- Boundary regularity for solutions of degenerate elliptic equations
- On Harnack's theorem for elliptic differential equations
- H = W
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