Nonlinear Elliptic Partial Differential Equations.

Intro -- Contents -- Preface -- Jean-Pierre Gossez's short bio -- List of Participants -- Partial differential equations also have principles : maximum and antimaximum -- On the Fučĺk Spectrum for equations with symmetries -- Variations on the p-Laplacian -- Extremal functions in Poincaré-Sobolev inequalities for functions of bounded variation -- An elementary proof of an inequality of Maz'ya involving L1 vector fields -- Homoclinic type solutions for a class of differential equations with periodic coefficients -- Quasilinear and singular systems: the cooperative case -- Manifolds of critical points in a quasilinear model for phase transitions -- Weighted asymmetric problems for an indefinite elliptic operator -- Multiple non-trivial solutions of the Dirichlet problem for the prescribed mean curvature equation -- Limits as p(x) → ∞ of p(x)-harmonic functions with non-homogeneous Neumann boundary conditions -- Bifurcation and decay of solutions for a class of elliptic equations on RN -- 1. Introduction -- 2. Solutions and their properties -- 3. Bifurcation and vertical bifurcation -- 4. Rabier's approach using weighted spaces -- 5. Positive solutions and minimizers -- 6. Remarks on the Morse index of solutions -- 7. Special cases -- References -- Existence of nodal solutions for some nonlinear elliptic problems -- Admissible Q−curvatures under isometries for the conformal GJMS operators.

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Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.