Nodal solutions for singularly perturbed equations with critical exponential growth
From MaRDI portal
Publication:872013
DOI10.1016/j.jde.2006.12.006zbMath1143.35032OpenAlexW1977208582MaRDI QIDQ872013
Sérgio H. M. Soares, Claudianor Oliveira Alves
Publication date: 27 March 2007
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jde.2006.12.006
Nonlinear boundary value problems for linear elliptic equations (35J65) Singular perturbations in context of PDEs (35B25) Nonlinear elliptic equations (35J60) Variational methods for second-order elliptic equations (35J20)
Related Items
Nodal solutions of an NLS equation concentrating on lower dimensional spheres, Existence and concentration behavior of sign-changing solutions for quasilinear Schrödinger equations, Existence of a positive solution for a nonlinear elliptic equation with saddle-like potential and nonlinearity with exponential critical growth in \({\mathbb{R}^{2}}\), A multiplicity result for some Kirchhoff-type equations involving exponential growth condition in \(\mathbb{R}^2 \), Existence and concentration of nodal solutions for a subcritical \textit{p\&q} equation, Sign-changing multi-peak solutions for nonlinear Schrödinger equations with compactly supported potential, Fine bounds for best constants of fractional subcritical Sobolev embeddings and applications to nonlocal PDEs, Existence and concentration of solutions for a class of biharmonic equations, Existence of solutions for a class of quasilinear equations with vanishing potentials, On existence of solutions for some classes of elliptic problems with supercritical exponential growth, Kirchhoff–Schrödinger equations in ℝ2 with critical exponential growth and indefinite potential, Existence of least energy nodal solution for a Schrödinger-Poisson system in bounded domains, Solutions for perturbed biharmonic equations with critical nonlinearity, Radial sign-changing solutions to biharmonic nonlinear Schrödinger equations, Bounds for subcritical best Sobolev constants in \(W^{1, p}\), Normalized solutions for a Schrödinger equation with critical growth in \(\mathbb{R}^N\), A new type of nodal solutions to singularly perturbed elliptic equations with supercritical growth, Existence of a least energy nodal solution for a Schrödinger-Kirchhoff equation with potential vanishing at infinity, On a critical exponential \(p \& N\) equation type: existence and concentration of changing solutions, Nodal solutions of 2-D critical nonlinear Schrödinger equations with potentials vanishing at infinity
Cites Work
- Unnamed Item
- Unnamed Item
- Nonlinear scalar field equations. I: Existence of a ground state
- Partial symmetry of least energy nodal solutions to some variational problems
- Configuration spaces, transfer, and 2-nodal solutions of a semiclassical nonlinear Schrödinger equation
- On a class of nonlinear Schrödinger equations
- On the existence of sign changing solutions for semilinear Dirichlet problems
- On nonlinear perturbations of a periodic elliptic problem in \(\mathbb R^2\) involving critical growth.
- On the Morse indices of sign changing solutions of nonlinear elliptic problems
- On concentration of positive bound states of nonlinear Schrödinger equations
- Nonspreading wave packets for the cubic Schrödinger equation with a bounded potential
- On existence and concentration behavior of ground state solutions for a class of problems with critical growth.
- On the location and profile of spike-layer nodal solutions to nonlinear Schrödinger equations
- Local mountain passes for semilinear elliptic problems in unbounded domains
- Sign changing solutions of nonlinear Schrödinger equations
- Three nodal solutions of singularly perturbed elliptic equations on domains without topology
- Multiplicity of solutions for a class of elliptic problem in with Neumann conditions
- Existence of Semiclassical Bound States of Nonlinear Schrödinger Equations with Potentials of the Class (V)a
- Nontrivial Solution of Semilinear Elliptic Equations with Critical Exponent in R
- On the location of spikes and profile of nodalsolutions for a singularly perturbed neumann problem
- On the effect of domain geometry on the existence of nodal solutions in singular perturbations problems
- A remark on least energy solutions in $\mathbf {R}^N$
- Existence and multiplicity results for some superlinear elliptic problems on RN
- On a class of nonlinear Schrödinger equations in \(\mathbb R^2\) involving critical growth
- On perturbations of a class of a periodic \(m\)-Laplacian equation with critical growth
- Local mountain-pass for a class of elliptic problems in \(\mathbb R^N\) involving critical growth
