Existence of positive solutions for a class of nonhomogeneous elliptic equations in \({\mathbb R}^N\)

DOI10.1016/S0362-546X(00)00206-6zbMath1030.35048OpenAlexW2094580562WikidataQ128111543 ScholiaQ128111543MaRDI QIDQ5960865

Shinji Adachi, Kazunaga Tanaka

Publication date: 8 August 2002

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0362-546x(00)00206-6

zbMATH Keywords

positive solutionsvariational methodsSemilinear elliptic equationconcentration-compactness principlefold points

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Variational methods for second-order elliptic equations (35J20)

Related Items (23)

Existence and uniqueness of positive solution for nonhomogeneous sublinear elliptic equations ⋮ Existence of solutions for a perturbation sublinear elliptic equation in \(\mathbb R^N\) ⋮ Four positive solutions of semilinear elliptic equations in exterior domains ⋮ Multiplicity results for ground state solutions of a semilinear equation via abrupt changes in magnitude of the nonlinearity ⋮ Multiplicity and bifurcation of positive solutions for nonhomogeneous semilinear fractional Laplacian problems ⋮ Existence of high energy-positive solutions for a class of elliptic equations in the hyperbolic space ⋮ Existence of nonminimal solutions to an inhomogeneous elliptic equation with supercritical nonlinearity ⋮ Bifurcation and multiplicity of positive solutions for nonhomogeneous fractional Schrödinger equations with critical growth ⋮ Even ground state for nonlinear Schrödinger systems with repulsive interaction ⋮ Existence of normalized positive solutions for a class of nonhomogeneous elliptic equations ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Multiple positive solutions of quasilinear elliptic equations in \(\mathbb{R}^n\) ⋮ Exact multiplicity results and bifurcation for nonhomogeneous elliptic problems ⋮ Multiplicity results for sign changing bound state solutions of a semilinear equation ⋮ Ground state solutions and multiple solutions for nonhomogeneous Schrödinger equations with Berestycki–Lions type conditions ⋮ Four positive solutions of semilinear elliptic equations involving concave and convex nonlinearities in \(\mathbb R^N\) ⋮ Positive solution for nonhomogeneous sublinear fractional equations in ⋮ Multiplicity and bifurcation of positive solutions for nonhomogeneous semilinear elliptic problems ⋮ Existence and nonexistence of solution for a class of quasilinear Schrödinger equations with critical growth ⋮ Combined effects of concave and convex nonlinearities in elliptic equation on \(\mathbb R^N\) ⋮ Bound state solutions of sublinear Schrödinger equations with lack of compactness ⋮ Unnamed Item

Cites Work

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