ON THE SHAPE OF THE SOLUTIONS OF SOME SEMILINEAR ELLIPTIC PROBLEMS
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Publication:4807715
DOI10.1142/S0219199703000914zbMath1136.35364MaRDI QIDQ4807715
Riccardo Molle, Massimo Grossi
Publication date: 26 May 2003
Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)
Maximum principles in context of PDEs (35B50) Nonlinear elliptic equations (35J60) Schrödinger operator, Schrödinger equation (35J10) Critical points of functionals in context of PDEs (e.g., energy functionals) (35B38)
Related Items (15)
Perturbations of Lane-Emden and Hamilton-Jacobi equations. II: Exterior domains ⋮ On the number of critical points of solutions of semilinear equations in ℝ2 ⋮ Critical points of positive solutions of nonlinear elliptic equations: multiplicity, location, and non-degeneracy ⋮ Geometric properties of superlevel sets of semilinear elliptic equations in convex domains ⋮ Uniqueness of the critical point for semi-stable solutions in \(\mathbb{R}^2\) ⋮ Perturbations of Lane-Emden and Hamilton-Jacobi equations: the full space case ⋮ ON THE LOCATION OF SPIKES FOR THE SCHRÖDINGER EQUATION WITH ELECTROMAGNETIC FIELD ⋮ On the shape of level sets of least energy solutions to some elliptic problems with nearly critical growth ⋮ Quasi-concavity for semilinear elliptic equations with non-monotone and anisotropic nonlinearities ⋮ On an eigenvalue problem related to the critical exponent ⋮ Symmetry of positive solutions of an almost-critical problem in an annulus ⋮ Nonexistence of multi-bubble solutions to some elliptic equations on convex domains ⋮ On the number of critical points of solutions of semilinear elliptic equations ⋮ Asymptotic Estimates and Qualitative Properties of an Elliptic Problem in Dimension Two ⋮ Symmetry Results For Solutions of a Semilinear Nonhomogeneous Problem
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