Multiplicity and concentration of solutions to a fractional \((p,p_1)\)-Laplace problem with exponential growth
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Publication:2235810
DOI10.1016/j.jmaa.2021.125667zbMath1479.35276OpenAlexW3201508604WikidataQ115570194 ScholiaQ115570194MaRDI QIDQ2235810
Publication date: 22 October 2021
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2021.125667
existencevariational methodTrudinger-Moser nonlinearityfractional \((p, p_1)\)-LaplacianSchrödinger equaiton
Variational methods applied to PDEs (35A15) Schrödinger operator, Schrödinger equation (35J10) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Fractional partial differential equations (35R11) Quasilinear elliptic equations with (p)-Laplacian (35J92)
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Cites Work
- Unnamed Item
- Unnamed Item
- A multiplicity result via Ljusternick-Schnirelmann category and Morse theory for a fractional Schrödinger equation in \(\mathbb{R}^N\)
- Concentration phenomena for fractional elliptic equations involving exponential critical growth
- Hitchhiker's guide to the fractional Sobolev spaces
- Existence and concentration result for the fractional Schrödinger equations with critical nonlinearities
- Ground states of nonlocal scalar field equations with Trudinger-Moser critical nonlinearity
- Fractional Kirchhoff problems with critical Trudinger-Moser nonlinearity
- Nonautonomous fractional problems with exponential growth
- Multiple solutions for nonhomogeneous Schrödinger-Kirchhoff type equations involving the fractional \(p\)-Laplacian in \(\mathbb R^N\)
- On a class of nonlinear Schrödinger equations
- Elliptic equations in \(R^ 2\) with nonlinearities in the critical growth range
- Bifurcation results for problems with fractional Trudinger-Moser nonlinearity
- Multiplicity of positive solutions for a class of fractional Schrödinger equations via penalization method
- Multiplicity and concentration results for some nonlinear Schrödinger equations with the fractional \(p\)-Laplacian
- On concentration of positive bound states of nonlinear Schrödinger equations
- \(N\)-Laplacian equations in \(\mathbb{R}^N\) with critical growth
- Minimax theorems
- Singular Trudinger-Moser inequality and fractional \(p\)-Laplace equations in \(\mathbb{R}^N\)
- Existence of solutions for a fractional Choquard-type equation in \(\mathbb{R}\) with critical exponential growth
- Multiplicity and concentration results for a \((p, q)\)-Laplacian problem in \(\mathbb{R}^N \)
- On a class of nonlocal Schrödinger equations with exponential growth
- Fractional double-phase patterns: concentration and multiplicity of solutions
- Degenerate Kirchhoff \((p, q)\)-fractional systems with critical nonlinearities
- On a planar non-autonomous Schrödinger-Poisson system involving exponential critical growth
- Multiplicity and concentration of solutions to a fractional \((p,p_1)\)-Laplace problem with exponential growth
- Multiplicity and concentration of nontrivial nonnegative solutions for a fractional Choquard equation with critical exponent
- Existence and concentration of positive solutions for \(p\)-fractional Schrödinger equations
- Existence and multiplicity of solutions for fractional Schrödinger-Kirchhoff equations with Trudinger-Moser nonlinearity
- Nonlocal Kirchhoff problems with Trudinger -- Moser critical nonlinearities
- \(1/2\)-Laplacian problems with exponential nonlinearity
- On multiplicity and concentration of positive solutions for a class of quasilinear problems with critical exponential growth in \(\mathbb R^{N}\)
- Multiple solutions for a fractional nonlinear Schrödinger equation with local potential
- Existence, multiplicity and concentration for a class of fractional \( p \& q \) Laplacian problems in \( \mathbb{R} ^{N} \)
- On a fractional magnetic Schrödinger equation in \(\mathbb{R}\) with exponential critical growth
- Existence and concentration of solution for a class of fractional elliptic equation in \(\mathbb {R}^N\) via penalization method
- Trudinger-Moser inequalities in fractional Sobolev-Slobodeckij spaces and multiplicity of weak solutions to the fractional-Laplacian equation
- Existence of positive solutions for a class of singular and quasilinear elliptic problems with critical exponential growth
- Existence of solution to singular Schrödinger systems involving the fractional p‐Laplacian with Trudinger–Moser nonlinearity in ℝN
- Fractional p&q-Laplacian problems with potentials vanishing at infinity
- Ground state solutions for nonlinear fractional Schrödinger equations in $\mathbb {R}^N$RN
- Ground states for fractional Schrödinger equations with critical growth
- On fractional Schr$\ddot{\mbox{o}}$ödinger equation in $\mathbb {R}^{N}$RN with critical growth
- Variable Exponent, Linear Growth Functionals in Image Restoration
- Multiple solutions for a class of fractional quasi-linear equations with critical exponential growth in ℝN
- On the Moser-Trudinger inequality in fractional Sobolev-Slobodeckij spaces
