Deprecated: $wgMWOAuthSharedUserIDs=false is deprecated, set $wgMWOAuthSharedUserIDs=true, $wgMWOAuthSharedUserSource='local' instead [Called from MediaWiki\HookContainer\HookContainer::run in /var/www/html/w/includes/HookContainer/HookContainer.php at line 135] in /var/www/html/w/includes/Debug/MWDebug.php on line 372
A ecessary and Sufficient Condition for The Stability of General molecular Systems - MaRDI portal

A ecessary and Sufficient Condition for The Stability of General molecular Systems

From MaRDI portal
Publication:4022976

DOI10.1080/03605309208820878zbMath0767.35065OpenAlexW348555340MaRDI QIDQ4022976

Pierre-Louis Lions, Isabelle Catto

Publication date: 20 January 1993

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03605309208820878




Related Items

Ground state solutions of Nehari-Pohozaev type for Schrödinger-Poisson problems with general potentialsMultiple positive solutions for Schrödinger-Poisson system in \(\mathbb{R}^{3}\) involving concave-convex nonlinearities with critical exponentExistence and asymptotical behavior of positive solutions for the Schrödinger-Poisson system with double quasi-linear termsBorn-Oppenheimer potential energy surfaces for Kohn-Sham models in the local density approximationMultiple positive solutions for the Schrödinger-Poisson equation with critical growthPositive solutions for some non-autonomous Schrödinger-Poisson systemsMultiple solutions for superlinear Schrödinger-Poisson system with sign-changing potential and nonlinearityON A CLASS OF ELLIPTIC SYSTEM OF SCHRÖDINGER–POISSON TYPEComputing a molecule: A mathematical viewpointA positive solution of a Schrödinger-Poisson system with critical exponentGround state solutions for asymptotically periodic fractional Schrödinger-Poisson problems with asymptotically cubic or super-cubic nonlinearitiesExistence and nonexistence of nontrivial solutions for the Schrödinger-Poisson system with zero mass potentialMultiplicity of positive solution for Schrödinger-Poisson system with p -LaplacianBound state solutions for some non-autonomous asymptotically cubic Schrödinger-Poisson systemsMultiple positive bound states for critical Schrödinger-Poisson systemsThe quasilinear Schrödinger–Poisson systemOn quasilinear Schrödinger-Poisson system involving Berestycki-Lions type conditionsGround state sign-changing solutions for a Schrödinger-Poisson system with steep potential Well and critical growthGround state solutions for Schrödinger–Poisson systems on ℝ3$$ {\mathbb{R}}^3 $$ with a weighted critical exponentExact number of peak solutions for nonlinear Schrödinger-Poisson systemsInfinitely many solutions for the nonlinear Schrödinger-Poisson systemOn the radiality of constrained minimizers to the Schrödinger-Poisson-Slater energyTwo positive solutions of a class of Schrödinger-Poisson system with indefinite nonlinearityNonlocal variational problems arising in long wave propagatioNScaling properties of functionals and existence of constrained minimizersBinding of atoms in Müller theoryA Note on Non-radial Sign-changing Solutions for the Schrödinger–Poisson Problem in the Semiclassical LimitThe Schrödinger-Poisson system with \(p\)-LaplacianOn a quasilinear Schrödinger-Poisson systemNon-radial sign-changing solutions for the Schrödinger-Poisson problem in the semiclassical limitUnnamed ItemGround States for Semi-Relativistic Schrödinger-Poisson-Slater EnergyGround state solutions for Schrödinger-Poisson systems with multiple weighted critical exponentsExistence of multispike positive solutions for a nonlocal problem in \(\mathbb{R}^3\)Nehari type ground state solutions for asymptotically periodic Schrödinger-Poisson systemsGEOMETRY OPTIMIZATION FOR CRYSTALS IN THOMAS–FERMI TYPE THEORIES OF SOLIDSThe existence and concentration of positive solutions for a nonlinear Schrödinger-Poisson system with critical growthMultiple solutions of nonhomogeneous Chouquard's equationsThe Schrödinger-Poisson equation under the effect of a nonlinear local termThe nonlinear Schrödinger equation for orthonormal functions: existence of ground statesPeriodicity of the infinite-volume ground state of a one-dimensional quantum modelPositive solutions for a nonlinear Schrödinger-Poisson systemINFINITELY MANY POSITIVE SOLUTIONS FOR THE NONLINEAR SCHRÖDINGER–POISSON SYSTEMSemiclassical ground state solutions for critical Schrödinger-Poisson systems with lower perturbationsExistence of multi-bump solutions for the Schrödinger-Poisson systemMultiple standing waves for nonlinear Schrödinger-Poisson systemsAsymptotic properties of standing waves for Maxwell-Schrödinger-Poisson systemMulti-peak positive solutions of a nonlinear Schrödinger-Newton type systemExistence criteria of ground state solutions for Schrödinger-Poisson systems with a vanishing potentialA mass- and energy-conserved DG method for the Schrödinger-Poisson equationBinding of atoms and stability of molecules in hartree and thomas—fermi type theoriesUnnamed ItemNormalized solutions for Schrödinger-Poisson equations with general nonlinearitiesGround state sign-changing solutions for a class of nonlinear fractional Schrödinger-Poisson system in \(\mathbb{R}^3\)Infinitely many solutions for a class of sublinear fractional Schrödinger-Poisson systemsGround state solutions of Schrödinger–Poisson systems with asymptotically constant potentialEXISTENCE OF STEADY STATES FOR THE MAXWELL–SCHRÖDINGER–POISSON SYSTEM: EXPLORING THE APPLICABILITY OF THE CONCENTRATION–COMPACTNESS PRINCIPLEInfinitely many geometrically distinct solutions for periodic Schrödinger-Poisson systemsMulti-bump solutions for the nonlinear Schrödinger-Poisson systemExistence of solutions to a class of Schrödinger–Poisson systems with indefinite nonlinearityAsymptotic Estimates for the Parabolic-Elliptic Keller-Segel Model in the Plane