Superlinear elliptic Dirichlet problems in almost spherically symmetric exterior domains

DOI10.1007/BF00251410zbMath0664.35028OpenAlexW2048304643MaRDI QIDQ1114855

Charles V. Coffman, Morel M. Marcus

Publication date: 1986

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00251410

zbMATH Keywords

existenceperturbationpositive solutionsexterior domainradially symmetricsuperlinearseries of spherical harmonicsspectrum of the eigenvalue problem

Mathematics Subject Classification ID

Related Items (10)

On the exterior Dirichlet problem for \(\Delta u-u+f(x,u)=0\) ⋮ Solvability of some singular nonlinear boundary value problems and existence of positive radial solutions of some nonlinear elliptic problems ⋮ Positive \(L^ p\)-solution of subcritical nonlinear problems ⋮ A positive bound state for an asymptotically linear or superlinear Schrödinger equation in exterior domains ⋮ Positive \(L^ p(R^ N)\)-solutions of subcritical Emden-Fowler problems ⋮ Existence of positive radial solutions for nonlinear elliptic equations with gradient terms in an annulus ⋮ Lyusternik-Schnirelman theory: complementary principles and the Morse index ⋮ Existence of radial solutions for nonlinear elliptic equations with gradient terms in annular domains ⋮ Existence of positive solution for a fractional elliptic equation in exterior domain ⋮ Nonlinear elliptic problems in annular domains

Cites Work

• Nonlinear scalar field equations. II: Existence of infinitely many solutions
• Positive solutions of semilinear elliptic problems in unbounded domains
• Symétrie et compacité dans les espaces de Sobolev
• Existence of solitary waves in higher dimensions
• On a Class of Nonlinear Second-Order Differential Equations
• Existence and non-existence results for semilinear elliptic problems in unbounded domains
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