On a class of semilinear Schrödinger equations involving critical growth and discontinuous nonlinearities.
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Publication:1400266
DOI10.1016/S0362-546X(03)00115-9zbMath1290.35090OpenAlexW1979483803MaRDI QIDQ1400266
Ana Maria Bertone, João Marcos Bezerra do Ó
Publication date: 13 August 2003
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(03)00115-9
semilinear Schrödinger equationsdiscontinuous nonlinearitiesperiodic approximationindefinite elliptic operator
Nonlinear elliptic equations (35J60) PDEs with low regular coefficients and/or low regular data (35R05) Schrödinger operator, Schrödinger equation (35J10) Variational methods for second-order elliptic equations (35J20)
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Cites Work
- Unnamed Item
- Unnamed Item
- Free boundary problems and the set-valued mappings
- Semilinear elliptic equations in \({\mathbb{R}}^ n\) with nonstabilizing coefficients
- The concentration-compactness principle in the calculus of variations. The locally compact case. II
- Critical point theorems for indefinite functionals
- Variational methods for non-differentiable functionals and their applications to partial differential equations
- Existence of solutions for semilinear elliptic equations with indefinite linear part
- Existence and bifurcation of solutions for nonlinear perturbations of the periodic Schrödinger equation
- Best constant in Sobolev inequality
- Nonlinear elliptic eigenvalue problems with discontinuities
- On Schrödinger equation with periodic potential and critical Sobolev exponent
- Solutions in spectral gaps for a nonlinear equation of Schrödinger type
- Existence theorems for the Schrödinger equation involving a critical Sobolev exponent
- Remarks on the Grad-Shafranov equation
- Generalized linking theorem with an application to a semilinear Schrödinger equation
- Le problème de Dirichlet pour les équations elliptiques du second ordre à coefficients discontinus
- A Relation Between Pointwise Convergence of Functions and Convergence of Functionals
- Existence of a Nontrivial Solution to a Strongly Indefinite Semilinear Equation
- Remarks on finding critical points
- Homoclinic type solutions for a semilinear elliptic PDE on ℝn
- The obstacle problem and partial differential equations with discontinuous nonlinearities
- Elliptic equations with discontinuous nonlinearities in N
- On a semilinear Schrödinger equation with periodic potential
- Existence and multiplicity results for elliptic problems with critical growth and discontinuous nonlinearities
- Nontrivial solution of a semilinear schrödinger equation
- The weak upper and lower solution method for quasilinear elliptic equations with generalized subdifferentiable perturbations
- A variational approach to discontinuous problems with critical Sobolev exponents