Multiple solutions to elliptic equations on \(\mathbb{R}^N\) with combined nonlinearities

DOI10.1155/2014/284953zbMath1472.35201OpenAlexW2072357410WikidataQ59037660 ScholiaQ59037660MaRDI QIDQ1723764

Anran Li, Miaomiao Yang

Publication date: 14 February 2019

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2014/284953

zbMATH Keywords

existencesemilinear equation with Laplacian

Mathematics Subject Classification ID

Existence problems for PDEs: global existence, local existence, non-existence (35A01) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91)

Related Items (1)

Compactness and existence results in weighted Sobolev spaces of radial functions. II: Existence

Cites Work

• Unnamed Item
• Unnamed Item
• Multiple solutions for some elliptic equations with a nonlinearity concave at the origin
• Multiple positive solutions for a class of concave-convex elliptic problems in \(\mathbb R^N\) involving sign-changing weight
• On a class of nonlinear Schrödinger equations
• Positive solution for a semilinear elliptic equation which is almost linear at infinity
• Combined effects of concave and convex nonlinearities in some elliptic problems
• Multiple positive solutions for a nonlinear Schrödinger equation
• Solutions to semilinear elliptic problems with combined nonlinearities
• Local superlinearity and sublinearity for indefinite semilinear elliptic problems.
• Minimax theorems
• Schrödinger equations with concave and convex nonlinearities
• Weighted Sobolev type embeddings and coercive quasilinear elliptic equations on $\mathbb{R}^{N}$
• NONLINEAR SCHRÖDINGER EQUATIONS WITH UNBOUNDED AND DECAYING RADIAL POTENTIALS
• Multiplicity of positive solutions for semilinear elliptic equations in $\mathbb{R}^{N}$
• Nonconvex minimization problems
• Applying the mountain pass theorem to an asymptotically linear elliptic equation on R^N
• On the existence of bounded Palais–Smale sequences and application to a Landesman–Lazer-type problem set on ℝ^N
• A positive solution for an asymptotically linear elliptic problem on $\mathbb{R}^N$ autonomous at infinity
• The existence of a weak solution of inhomogeneous quasilinear elliptic equation with critical growth conditions
• Existence and multiplicity results for some superlinear elliptic problems on R^N
• On an Elliptic Equation with Concave and Convex Nonlinearities
• The existence of a positive solution to asymptotically linear scalar field equations
• On a class of asymptotically linear elliptic problems in \(\mathbb R^N\)

This page was built for publication: Multiple solutions to elliptic equations on \(\mathbb{R}^N\) with combined nonlinearities