Results 41 to 50 of about 88,801 (291)
Sturmian comparison and oscillation theorems for quasilinear elliptic equations with mixed nonlinearities via Picone-type inequality [PDF]
A Picone-type inequality is established for quasilinear elliptic operators with mixed nonlinearities, and Sturmian comparison and oscillation theorems for quasilinear elliptic equations are derived by using the Picone-type ...
Yoshida Norio
core +1 more source
Quasilinear Differential Constraints for Parabolic Systems of Jordan‐Block Type
ABSTRACT We prove that linear degeneracy is a necessary conditions for systems in Jordan‐block form to admit a compatible quasilinear differential constraint. Such condition is also sufficient for 2×2$2\times 2$ systems and turns out to be equivalent to the Hamiltonian property.
Alessandra Rizzo, Pierandrea Vergallo
wiley +1 more source
Some regularity results for anisotropic motion of fronts [PDF]
We study the regularity of propagating fronts whose motion is anisotropic. We prove that there is at most one normal direction at each point of the front; as an application, we prove that convex fronts are C^{1,1}.
Imbert, Cyril
core +2 more sources
A uniqueness result for quasilinear elliptic equations with measures as data [PDF]
We prove here a uniqueness result for Solutions Obtained as the Limit of Approximations of quasilinear elliptic equations with different kinds of boundary conditions and measures as data.
J. Droniou, T. Gallouët
doaj
Association of Relativistic Electron Microbursts Duration With Chorus Wave Properties
Abstract Relativistic electron microbursts are correlated with resonant scattering by whistler‐mode chorus waves. Here, we use chorus wave properties obtained from Van Allen Probe A to calculate the duration of relativistic microbursts. A detailed quantitative comparison between observed and calculated microburst durations shows consistent ranges and ...
Jiabei He+4 more
wiley +1 more source
In this paper, we prove the gradient estimate for renormalized solutions to quasilinear elliptic equations with measure data on variable exponent Lebesgue spaces with BMO coefficients in a Reifenberg flat domain.
Bui The Anh
doaj +1 more source
Strong Maximum Principle for Some Quasilinear Dirichlet Problems Having Natural Growth Terms
In this paper, dedicated to Laurent Veron, we prove that the Strong Maximum Principle holds for solutions of some quasilinear elliptic equations having lower order terms with quadratic growth with respect to the gradient of the solution.
Boccardo Lucio, Orsina Luigi
doaj +1 more source
Abstract Whistler‐mode chorus waves play a crucial role in accelerating electrons in Earth's outer radiation belt to relativistic and ultrarelativistic energies. While this electron evolution is typically modeled using a diffusion approximation for scattering, high‐amplitude chorus waves induce nonlinear resonant effects that challenge this approach on
Miroslav Hanzelka+5 more
wiley +1 more source
We consider maps between Riemannian manifolds in which the map is a stationary point of the nonlinear Hodge energy. The variational equations of this functional form a quasilinear, nondiagonal, nonuniformly elliptic system which models certain kinds of ...
Hardt R.+15 more
core +3 more sources
By variational methods and some analysis techniques, the multiplicity of positive solutions is obtained for a class of weighted quasilinear elliptic equations with critical Hardy-Sobolev exponents and concave-convex nonlinearities.
Tsing-San Hsu, Huei-Li Lin
doaj +1 more source