Quasilinear Scalar Field Equations Involving Critical Sobolev Exponents and Potentials Vanishing at Infinity
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Publication:5228172
DOI10.1017/S0013091517000360zbMath1421.35174OpenAlexW2802243604WikidataQ129906840 ScholiaQ129906840MaRDI QIDQ5228172
Publication date: 9 August 2019
Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1017/s0013091517000360
Variational methods applied to PDEs (35A15) Critical exponents in context of PDEs (35B33) NLS equations (nonlinear Schrödinger equations) (35Q55) PDEs in connection with mechanics of deformable solids (35Q74) Quasilinear elliptic equations with (p)-Laplacian (35J92)
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Cites Work
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- Radial symmetry and applications for a problem involving the \(-\Delta_p(\cdot)\) operator and critical nonlinearity in \(\mathbb{R}^N\)
- Existence of solutions for a class of elliptic equations in \(\mathbb R^N\) with vanishing potentials
- Quasilinear scalar field equations with competing potentials
- Infinitely many solutions for the Schrödinger equations in \(\mathbb R^N\) with critical growth
- Nonlinear scalar field equations. I: Existence of a ground state
- A global compactness result for elliptic boundary value problems involving limiting nonlinearities
- Perturbation methods and semilinear elliptic problems on \(\mathbb R^n\)
- Semiclassical stationary states for nonlinear Schrödinger equations with fast decaying potentials
- A priori estimates and application to the symmetry of solutions for critical \(p\)-Laplace equations
- The concentration-compactness principle in the calculus of variations. The limit case. I
- Existence of positive solutions of the equation \(-\Delta u+a(x)u=u^{(N+2)/(N-2)}\) in \({\mathbb{R}}^ N\)
- Groundstates for the nonlinear Schrödinger equation with potential vanishing at infinity
- A global compactness result for the \(p\)-Laplacian involving critical nonlinearities
- Bound states of nonlinear Schrödinger equations with potentials tending to zero at infinity
- Regularity for a more general class of quasilinear equations
- On a class of nonlinear Schrödinger equations
- Best constant in Sobolev inequality
- Problèmes isoperimetriques et espaces de Sobolev
- The nonlinear Schrödinger equation. Self-focusing and wave collapse
- Semi-classical states for nonlinear Schrödinger equations
- Semiclassical states of nonlinear Schrödinger equations
- The strong maximum principle revisited.
- Solitons in several space dimensions: Derrick's problem and infinitely many solutions
- On positive multi-lump bound states of nonlinear Schrödinger equations under multiple well potential
- Nonspreading wave packets for the cubic Schrödinger equation with a bounded potential
- On the existence of positive entire solutions of a semilinear elliptic equation
- On existence and concentration behavior of ground state solutions for a class of problems with critical growth.
- Existence of positive solutions for a problem with lack of compactness involving the \(p\)-Laplacian
- Semi-classical states of nonlinear Schrödinger equations: a variational reduction method
- Cauchy-Liouville and universal boundedness theorems for quasilinear elliptic equations and inequalities.
- Local mountain passes for semilinear elliptic problems in unbounded domains
- Bound states for a class of quasilinear scalar field equations with potentials vanishing at infinity
- Global compactness for a class of quasi-linear elliptic problems
- Dual variational methods in critical point theory and applications
- New solutions for nonlinear Schrödinger equations with critical nonlinearity
- Positive solutions for a quasilinear Schrödinger equation with critical growth
- Semiclassical states for nonlinear Schrödinger equations with sign-changing potentials
- Bound states of nonlinear Schrödinger equations with potentials vanishing at infinity
- On existence and concentration of positive bound states of \(p\)-Laplacian equations in \(\mathbb R^N\) involving critical growth
- Existence and non existence of the ground state solution for the nonlinear Schrödinger equations with \(V(\infty)=0\)
- Classification of positive \(\mathcal{D}^{1, p}(\mathbb{R}^N)\)-solutions to the critical \(p\)-Laplace equation in \(\mathbb{R}^N\)
- Solutions of perturbed Schrödinger equations with critical nonlinearity
- Quasilinear elliptic equations involving critical Sobolev exponents
- Correction to existence of semiclassical bound states of nonlinear scierodinger equations with potentials of the, class (V)a
- Positive solutions of nonlinear elliptic equations involving critical sobolev exponents
- On a familiy of torsional creep problems.
- Existence of Semiclassical Bound States of Nonlinear Schrödinger Equations with Potentials of the Class (V)a
- EXISTENCE AND NON-EXISTENCE FOR SCHRÖDINGER EQUATIONS INVOLVING CRITICAL SOBOLEV EXPONENTS
- Comments on the validity of a common category of constitutive equations
- On a class of semilinear elliptic problems in ℝN with critical growth
- Infinitely Many Positive Solutions to Some Scalar Field Equations with Nonsymmetric Coefficients
- On harnack type inequalities and their application to quasilinear elliptic equations
- Ground states of nonlinear Schrödinger equations with potentials vanishing at infinity
- Local mountain-pass for a class of elliptic problems in \(\mathbb R^N\) involving critical growth