On the exterior Dirichlet problem for \(\Delta u-u+f(x,u)=0\)

zbMath0803.35050MaRDI QIDQ2366585

Giovanna Citti

Publication date: 30 August 1993

Published in: Rendiconti del Seminario Matematico della Università di Padova (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=RSMUP_1992__88__83_0

zbMATH Keywords

exterior domaincomparison methods

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05)

Related Items (9)

A positive bound state for an asymptotically linear or superlinear Schrödinger equation in exterior domains ⋮ Positive solutions for asymptotically linear problems in exterior domains ⋮ The existence of positive solution to some asymptotically linear elliptic equations in exterior domains ⋮ Existence of a positive solution for a class of elliptic problems in exterior domains involving critical growth ⋮ Ground state solutions for electromagnetic Schrödinger equations on unbounded domains ⋮ Normalized solutions of mass subcritical fractional Schrödinger equations in exterior domains ⋮ Existence of solution for a class of elliptic problems in exterior domain with discontinuous nonlinearity ⋮ Existence of solutions for a class of fractional elliptic problems on exterior domains ⋮ An existence result for a class of magnetic problems in exterior domains

Cites Work

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• Nonlinear scalar field equations. I: Existence of a ground state
• The concentration-compactness principle in the calculus of variations. The locally compact case. I
• The concentration-compactness principle in the calculus of variations. The locally compact case. II
• Ground states of \(-\Delta u=f(u)\) and the Emden-Fowler equation
• Positive solutions of some nonlinear elliptic problems in exterior domains
• Superlinear elliptic Dirichlet problems in almost spherically symmetric exterior domains
• Uniqueness of positive radial solutions of \(\Delta u+f(u)=0\) in \({\mathbb{R}}^ n\)
• Uniqueness of positive solutions of \(\Delta u-u+u^ p=0\) in \(R^ n\)
• On the existence of a positive solution of semilinear elliptic equations in unbounded domains
• On the existence of positive entire solutions of a semilinear elliptic equation
• Concentration compactness principle and quasilinear elliptic equations in Rⁿ

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