First moments of energy and convergence to equilibrium.
First order elliptic systems and the existence of homoclinic orbits in Hamiltonian systems.
Fite and Kamenev type oscillation criteria for second order elliptic equations
Fite and Kamenev type oscillation criteria for the second order nonlinear damped elliptic differential equation are obtained. Our results are extensions of those for ordinary differential equations and improve some known oscillation criteria in the literature. Several examples are given to show the significance of the results.
Forced oscillations of half-linear elliptic equations via Picone-type inequality.
Formules min-max pour les vitesses d'ondes progressives multidimensionnelles
From repeated games to brownian games
Fully nonlinear second order elliptic equations : recent development
Fully nonlinear second order elliptic equations with large zeroth order coefficient
We prove the existence of classical solutions to certain fully non-linear second order elliptic equations with large zeroth order coefficient. The principal tool is an a priori estimate asserting that the -norm of the solution cannot lie in a certain interval of the positive real axis.
Function theory for a Beltrami algebra.
Functionals with linear growth in the calculus of variations. I.
Functionals with linear growth in the calculus of variations. II.
Further remark on a theorem by E. M. Landesman and A. C. Lazer
Gagliardo-Nirenberg inequalities in logarithmic spaces
We obtain interpolation inequalities for derivatives: , and their counterparts expressed in Orlicz norms: ||∇f||²(q,α) ≤ C||Φ₁(x,|f|,|∇(2)f|)||(p,β) ||Φ₂(x,|f|,|∇(2)f|)||(r,γ)where is the Orlicz norm relative to the function . The parameters p,q,r,α,β,γ and the Carathéodory functions Φ₁,Φ₂ are supposed to satisfy certain consistency conditions. Some of the classical Gagliardo-Nirenberg inequalities follow as a special case. Gagliardo-Nirenberg inequalities in logarithmic spaces with higher...
Ganze Lösungen der Differentialgleichung ?u=eu
G-convergence of monotone operators
Generalizations of the Lax-Milgram theorem.
Generalized boundary value problems for nonlinear elliptic equations.
Generalized Functions Solutions of Monotone and Semilinear Parabolic Equations.
Generalized solutions for nonlinear elliptic equations.
Generalized viscosity solutions of elliptic PDEs and boundary conditions.