Concave solutions to Finsler \(p\)-Laplace type equations

Critical exponents in context of PDEs (35B33) Symmetries, invariants, etc. in context of PDEs (35B06) Quasilinear elliptic equations with (p)-Laplacian (35J92)

Cites Work

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Monotonicity formulae and classification results for singular, degenerate, anisotropic PDEs
Gradient bounds and rigidity results for singular, degenerate, anisotropic partial differential equations
Power concavity in weakly coupled elliptic and parabolic systems
Smooth approximation of weak Finsler metrics
Rearrangements and convexity of level sets in PDE
Convexity of solutions of semilinear elliptic equations
Convex solutions of certain elliptic equations have constant rank Hessians
Symmetry and related properties via the maximum principle
Regularity for a more general class of quasilinear equations
On extensions of the Brunn-Minkowski and Prekopa-Leindler theorems, including inequalities for log concave functions, and with an application to the diffusion equation
The theory of sprays and Finsler spaces with applications in physics and biology
Anisotropic motion by mean curvature in the context of Finsler geometry
Convex viscosity solutions and state constraints
First variation of anisotropic energies and crystalline mean curvature for partitions
Optimal concavity of the torsion function
Approximate convexity principles and applications to PDEs in convex domains
Symmetry results for critical anisotropic \(p\)-Laplacian equations in convex cones
A microscopic convexity principle for nonlinear partial differential equations
Hopf lemma and regularity results for quasilinear anisotropic elliptic equations
Quasi-concavity for semilinear elliptic equations with non-monotone and anisotropic nonlinearities
On an asymmetrical metric in the four-space of general relativity.
Convexity of level sets for elliptic problems in convex domains or convex rings: two counterexamples
Power Concavity for Solutions of Nonlinear Elliptic Problems in Convex Domains
A New Proof for the Equivalence of Weak and Viscosity Solutions for thep-Laplace Equation
Convexity of Solutions to Some Elliptic Partial Differential Equations
Remarks on sublinear elliptic equations
Boundary regularity for solutions of degenerate elliptic equations
Crystalline variational problems
Quasi–concave envelope of a function and convexity of level sets of solutions to elliptic equations
The pseudo-p-Laplace eigenvalue problem and viscosity solutions asp→ ∞
A non-smooth Brezis-Oswald uniqueness result
Uniqueness of the critical point for solutions of some \(p\)-Laplace equations in the plane
Concavity principles for nonautonomous elliptic equations and applications
Concavity of solutions to semilinear equations in dimension two
Concavity properties for quasilinear equations and optimality remarks.
Concavity properties for solutions to \(p\)-Laplace equations with concave nonlinearities

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