Existence of solutions for quasilinear elliptic systems involving critical exponents and Hardy terms
Using variational methods, including the Ljusternik-Schnirelmann theory, we prove the existence of solutions for quasilinear elliptic systems with critical Sobolev exponents and Hardy terms.
Dengfeng Lu
doaj
Multiple nonsemitrivial solutions for a class of degenerate quasilinear elliptic systems
We prove the existence of multiple nonnegative nonsemitrivial solutions for a degenerate quasilinear elliptic system.
Zographopoulos, N. B. +2 more
core
Formación de singularidades en algunos problemas de reacción-difusión no lineales [PDF]
El nexo común entre los trabajos que integran la siguiente Memoria es el estudio del fenómeno de explosión en ciertos problemas de evolución de tipo parabólico.
Pérez Pérez, María Teresa
core
Anisotropic quasilinear elliptic systems with homogeneous critical nonlinearities
AbstractIn this work, we consider a system of quasilinear elliptic equations driven by an anisotropic ‐Laplacian. The lower order nonlinearities are in potential form and exhibit critical Sobolev growth. We exhibit conditions on the coefficients of the differential operator, the domain of the unknown function, and the lower order nonlinearities under ...
openaire +3 more sources
Isotherm migration along orthogonal flow lines in two dimensions
A novel approach to the solution of transient heat flow problems in two dimensions is described. The movements of isotherms along orthogonal flow lines are tracked in successive small intervals of time by solving a locally one-dimensional IMM form of ...
Crowley, AB, Crank, J
core
Positive solutions of quasilinear elliptic systems with the natural growth in the gradient
We study the problem of existence and nonexistence of positive, spherically symmetric solutions of a quasilinear elliptic system involving p-Laplacians, with the natural growth in the gradient on the right-hand sfide.
Zubrinic, Darko
core
Quasilinear Elliptic System Arising in a Three-dimensional Type-II Superconductor for Infinite ^.
We study a quasilinear elliptic system arising in a three-dimensional superconductor \Omega. This model is formally derived from the Ginzburg-Landau energy at ^ = +1 for a Meissner solution.
R. Monneau
core
Quasilinear Elliptic Systems in Divergence Form With Weak Monotonicity
We consider the Dirichlet problem for the quasilinear elliptic system \Gamma div oe(x; u(x); Du(x)) = f on\Omega u(x) = 0 on @\Omega for a function u :\Omega ! IR m , where\Omega is a bounded open domain in IR n .
Norbert Hungerbühler
core
A probabilistic interpretation of a system of second order quasilinear elliptic partial differential equations under a Neumann boundary condition is obtained by introducing a kind of backward stochastic differential equations in the infinite horizon case.
Hu, Ying
core
Removable singularities for weak solutions of quasilinear elliptic systems.
openaire +2 more sources

