Multiple Solutions of Nonlinear Scalar Field Equations

DOI10.1081/PDE-200037766zbMath1140.35401MaRDI QIDQ3157935

Mónica Clapp, Tobias Weth

Publication date: 20 January 2005

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

zbMATH Keywords

variational methodsnonlinear Schrödinger equationslack of compactnesssuperlinear problem

Mathematics Subject Classification ID

Variational methods involving nonlinear operators (47J30) Nonlinear elliptic equations (35J60) Variational methods for second-order elliptic equations (35J20)

Related Items (15)

Elliptic problems on complete non-compact Riemannian manifolds with asymptotically non-negative Ricci curvature ⋮ A nodal solution of the scalar field equation at the second minimax level ⋮ Multiplicity results for critical \(p\)-Laplacian problems ⋮ Existence of high energy-positive solutions for a class of elliptic equations in the hyperbolic space ⋮ Existence of ground states to the double-type nonlinear \(p\)-Laplace problem involving Sobolev critical Exponent ⋮ TWO SOLUTIONS OF THE BAHRI–CORON PROBLEM IN PUNCTURED DOMAINS VIA THE FIXED POINT TRANSFER ⋮ A group-theoretical approach for nonlinear Schrödinger equations ⋮ Multiple Sign Changing Solutions of Nonlinear Elliptic Problems in Exterior Domains ⋮ Sign-changing solutions to a partially periodic nonlinear Schrödinger equation in domains with unbounded boundary ⋮ On the second minimax level of the scalar field equation and symmetry breaking ⋮ Some hemivariational inequalities in the Euclidean space ⋮ Existence and multiplicity of positive solutions of semilinear elliptic equations in unbounded domains ⋮ On a nonlinear Schrödinger equation with indefinite potential ⋮ Ground states for irregular and indefinite superlinear Schrödinger equations ⋮ A flower-shape geometry and nonlinear problems on strip-like domains

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