Monotonicity of Positive Solutions to − Δp u + a(u)|∇u|q = f(u) in the Half-Plane in the Case $$p\leqslant 2$$
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Publication:5153003
DOI10.1007/978-3-030-73778-8_8zbMath1473.35318OpenAlexW3168139005MaRDI QIDQ5153003
Publication date: 28 September 2021
Published in: Harnack Inequalities and Nonlinear Operators (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/978-3-030-73778-8_8
Boundary value problems for second-order elliptic equations (35J25) Positive solutions to PDEs (35B09) Quasilinear elliptic equations with (p)-Laplacian (35J92)
Cites Work
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- Monotonicity of solutions of quasilinear degenerate elliptic equation in half-spaces
- Qualitative properties of positive solutions to nonlocal critical problems involving the Hardy-Leray potential
- Qualitative properties and classification of nonnegative solutions to \(-\Delta u=f(u)\) in unbounded domains when \(f(0) < 0\)
- Monotonicity of solutions of fully nonlinear uniformly elliptic equations in the half-plane
- Monotonicity of the solutions of some quasilinear elliptic equations in the half-plane, and applications.
- Monotonicity and one-dimensional symmetry for solutions of \(-\Delta_{p}u = f(u)\) in half-spaces
- Regularity, monotonicity and symmetry of positive solutions of \(m\)-Laplace equations
- A characteristic property of spheres
- Harnack inequalities, maximum and comparison principles, and regularity of positive solutions of \(m\)-Laplace equations
- Some remarks on half space problems
- The maximum principle
- Flattening results for elliptic PDEs in unbounded domains with applications to overdetermined problems
- Symmetry and related properties via the maximum principle
- Regularity for a more general class of quasilinear equations
- Qualitative properties of singular solutions to nonlocal problems
- On the moving plane method for nonlocal problems in bounded domains
- Qualitative properties of solutions for an integral equation
- Some nonexistence results for positive solutions of elliptic equations in unbounded domains.
- Inequalities for second-order elliptic equations with applications to unbounded domains. I
- Monotonicity of solutions to quasilinear problems with a first-order term in half-spaces
- Harnack inequalities and qualitative properties for some quasilinear elliptic equations
- Qualitative properties of positive solutions to systems of quasilinear elliptic equations
- Asymptotic symmetry for a class of nonlinear fractional reaction-diffusion equations
- Existence and qualitative properties of solutions to a quasilinear elliptic equation involving the Hardy-Leray potential
- Linear and quasilinear elliptic equations
- A symmetry problem in potential theory
- Asymptotic symmetry for a class of quasi-linear parabolic problems
- Monotonicity in half-spaces of positive solutions to -\Delta_p u = f(u) in the case p > 2
- C1 + α local regularity of weak solutions of degenerate elliptic equations
- Boundary regularity for solutions of degenerate elliptic equations
- A priori bounds for positive solutions of nonlinear elliptic equations
- Some notes on the method of moving planes
- On the Harnack inequality for quasilinear elliptic equations with a first-order term
- Symmetry for elliptic equations in a half-space without strong maximum principle
- Quasilinear Elliptic Equations on Half- and Quarter-spaces
- On the method of moving planes and the sliding method
- RADIAL SYMMETRY OF POSITIVE SOLUTIONS TO EQUATIONS INVOLVING THE FRACTIONAL LAPLACIAN
- Classification of solutions for an integral equation
- Existence Results for Nonproper Elliptic Equations Involving the Pucci Operator
- Symmetry via antisymmetric maximum principles in nonlocal problems of variable order
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